Math 2650 - Linear Differential Equations A. J. Meir Copyright (C) A. J. Meir. All rights reserved. This worksheet is for educational use only. No part of this publication may be reproduced or transmitted for profit in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system without prior written permission from the author. Not for profit distribution of the software is allowed without prior written permission, providing that the worksheet is not modified in any way and full credit to the author is acknowledged.

We consider equations of the type LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==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. For example take LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GKw==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOUYnRj5GKw==, and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJGRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GKw== (the roots of the characteristic polynomial are LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGNS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPi8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNLUYsNiVRIklGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGKw== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKiZ1bWludXMwO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZJLUYjNiUtSSNtbkdGJDYkUSIzRidGNS1GMjYtUTEmSW52aXNpYmxlVGltZXM7RidGNUY4RjtGPUY/RkFGQ0ZFL0ZIUSYwLjBlbUYnL0ZLRlYtRiw2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0YrRis=) 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 with initial conditions LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZTLUkobWZlbmNlZEdGJDYkLUYjNiMtSSNtbkdGJDYkUSIwRidGQEZALUY9Ni1RIj1GJ0ZARkJGRUZHRklGS0ZNRk8vRlJRLDAuMjc3Nzc3OGVtRicvRlVGXW9GZW5GKw== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkmbWZyYWNHRiQ2KC1GIzYjLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2Iy1GMTYlUSNkdEYnRjRGNy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGRC8lKWJldmVsbGVkR1EmZmFsc2VGJw== (0)=0. restart:with(DEtools): dsolve({D(D(x))(t)+9*x(t)=4*cos(omega*t),x(0)=0,D(x)(0)=0},x(t));

NiMvLUkieEc2IjYjSSJ0RzYiLCYqKCIiJSIiIi1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqJiIiJCIiIkkidEc2IiIiIiIiIiIiIiwmIiIqISIiKiQpSSZvbWVnYUc2IiIiIyIiIiIiIiEiIiIiIiooIiIlIiIiLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMqJkkmb21lZ2FHNiIiIiJJInRHNiIiIiIiIiIsJiIiKiEiIiokKUkmb21lZ2FHNiIiIiMiIiIiIiIhIiIhIiI=

That is given a periodic function of the form 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 we can write it as 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 where 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 and 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 (note this last equation has two solutions which differ by LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=, you must chose the correct solution). Also recall the two trigonometric identities 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 and 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 using these identities we can often rewrite periodic functions to better see the phenomenon of beats.

sol(t):=-8/(-9+omega^2)*sin((3-omega)*t/2)*sin((3+omega)*t/2);

NiM+LUkkc29sRzYiNiNJInRHNiIsJCoqIiIpIiIiLCYiIiohIiIqJClJJm9tZWdhRzYiIiIjIiIiIiIiISIiLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJCooIyIiIiIiIyIiIiwmIiIkIiIiSSZvbWVnYUc2IiEiIiIiIkkidEc2IiIiIiIiIiIiIi1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqKCMiIiIiIiMiIiIsJiIiJCIiIkkmb21lZ2FHNiIiIiIiIiJJInRHNiIiIiIiIiIiIiIhIiI=

env(t):=-8/(-9+omega^2)*sin((3-omega)*t/2);

NiM+LUkkZW52RzYiNiNJInRHNiIsJCooIiIpIiIiLCYiIiohIiIqJClJJm9tZWdhRzYiIiIjIiIiIiIiISIiLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJCooIyIiIiIiIyIiIiwmIiIkIiIiSSZvbWVnYUc2IiEiIiIiIkkidEc2IiIiIiIiIiIiIiEiIg==

omega:=1:plot([sol(t),env(t),-env(t)],t=0..20,color=[black,red,red]);

6*-%'CURVESG6$7[^l7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#<$"2i)=lH,:_B!#=7$$"2mmmmT:(z@!#<$"0Aoi>u98*!#;7$$"+DJdpK!#5$"21`FelGO&>!#<7$$"1LLLL3VfV!#;$"1\"[HAFEB$!#;7$$"1mm"z>5xI&!#;$"1uh=^0m>W!#;7$$",Dc*)fD'!#6$"0/O^d*Hfb!#:7$$"1LL3F*oU?(!#;$"1nx)\*zVTl!#;7$$"1nmm"H[D:)!#;$"0F-A4IgE(!#:7$$"1,]7`zw&o)!#;$"1BZ;->rGv!#;7$$"1MLe9w)*=#*!#;$"0`uCqOCn(!#:7$$"/DJXuf&[*!#9$"1l]^P4&pp(!#;7$$"1n;/ws?_(*!#;$"1:K'\+9))o(!#;7$$"2M3x1r")=+"!#;$"1F#pC_cuk(!#;7$$"-v$pU&G5!#6$"0PE_=5Dd(!#:7$$"2lmTgi'=N6!#;$"1chy4'Gm$p!#;7$$"2LLL$e0$=C"!#;$"1:Y-V)>py&!#;7$$"2LL$3xf]&H"!#;$"1D(oniC[.&!#;7$$"2MLLeR"=\8!#;$"16I@v;r$=%!#;7$$"2OL$e9o&GS"!#;$"1Z=a6;i\K!#;7$$"2NLLLBKlX"!#;$"2s*ySy"p1D#!#<7$$"2ML$3_w?5:!#;$"2,W&e#)>f17!#<7$$"2OLL32$)Qc"!#;$"2KK(=*4uDQ"!#=7$$"2PL$e*[evh"!#;$!1@u"H#efG$*!#<7$$"2OLL$3RBr;!#;$!2:jL^L9_)>!#<7$$"2,](=<UlC<!#;$!12:F]h/$*H!#;7$$"2omTg_u!y<!#;$!17\#eBA;%R!#;7$$"2N$e*[$[\J=!#;$!2u9RYl:E"[!#<7$$"2-+]P9:\)=!#;$!1jc[W4i*e&!#;7$$"2MLe9wb<*>!#;$!0h!)[s9!3o!#:7$$"2mmm"zjf)4#!#;$!1<%)34Gx<v!#;7$$"1L$e96gL7#!#:$!1/Eh+5\0w!#;7$$"-vVQ7[@!#6$!1$[$ef27kw!#;7$$"1n;/wv)G<#!#:$!1;+iJ9&Qp(!#;7$$"2OLL$38l(>#!#;$!1'p^GeB]p(!#;7$$"2mm;HxyrC#!#;$!1T(eQu'z8w!#;7$$",vB1nH#!#5$!1Q]^Xd3Eu!#;7$$"2lmmm;hdR#!#;$!1XF"3G#fkn!#;7$$"2MLLe4;[\#!#;$!1*y*Q2Q0'z&!#;7$$",vt"Q(f#!#5$!29$*fcglme%!#<7$$"1nm;zt%**p#!#:$!1=@/^IH.L!#;7$$"2NLL3-8D!G!#;$!2%[V*GVAn3#!#<7$$",Dmy]!H!#5$!20)fxa<]n5!#<7$$"2OLLe>_6,$!#;$!1f\or3%\N$!#<7$$"1nm;HdA<J!#:$!2Wm<$el!p="!#>7$$"2.++D6WP9$!#;$!1y')Rv^^d#*!#@7$$"2OLLe\i-<$!#;$!2>3\#fRzU;!#>7$$"1nm;z3y'>$!#:$!16()>sQ.wg!#=7$$"2.++DE*HBK!#;$!2*zHA=4yF8!#=7$$"1nm;HgLwK!#:$!1M,RB%=ld$!#<7$$"2PLLezs$HL!#;$!1jF!)>GDZo!#<7$$"*:1^V$!")$!1Fm"*yR\-;!#;7$$"2nmmT]R3a$!#;$!1LV\0lX%y#!#;7$$"2KLL$eGdYO!#;$!1.!G'*)oy'4%!#;7$$",D@1Bv$!#5$!1y`9+E4)Q&!#;7$$"1n;ajf1hQ!#:$!1w9gD')oKl!#;7$$"1MLe9d#)pR!#:$!1pMCQ$e.M(!#;7$$"1nT5!f0U-%!#:$!1bG8[`Zyv!#;7$$".DcY&eyS!#7$!1X#Q*G[G!p(!#;7$$"1<aQ.ax0T!#:$!1Wh)f^%='p(!#;7$$"1Me9T`'H8%!#:$!1#>@))4`xm(!#;7$$"1^i!*y_:gT!#:$!10t;4L^/w!#;7$$"1nmm;_M(=%!#:$!0_<-R2i](!#:7$$"1MLek39$G%!#:$!1Fg?)*Q(>)o!#;7$$"1,+]7l$*yV!#:$!1Y<(Gac[%e!#;7$$"2XLekLMoU%!#;$!1ez1isv'=&!#;7$$"1omTg@tuW!#:$!1eD[ewaZW!#;7$$"1,]P%)*HE_%!#:$!2Y!f1HrAQO!#<7$$"1MLL3y_qX!#:$!1^@$yv!>rF!#;7$$"1n;a8%\Wi%!#:$!2b687WwHu"!#<7$$"1,+v=5PyY!#:$!19#3<[6Wz'!#<7$$"1M$eRi#HKZ!#:$"1#3Jc@*))yR!#<7$$"1nm;HU@'y%!#:$"1e:SX)QrY"!#;7$$".vV$e8S[!#7$"21l*3ozj1D!#<7$$"1LLeRu0%*[!#:$"0R6ydna\$!#:7$$"1n;zW!zz%\!#:$"1-us?!*)RT%!#;7$$"20+++l+>+&!#;$"1V[,<&QVC&!#;7$$"20++]n'=5^!#;$"10C')y"o]e'!#;7$$")FZ=_!"($"1"[4-5xoT(!#;7$$"1,+D1UaX_!#:$"1w&**)o6@Rv!#;7$$",Dr:EF&!#5$"0tM.iNni(!#:7$$"-v=so*H&!#6$"1M.+p4bzw!#;7$$"+D(enK&!"*$"0G)[H^(zp(!#:7$$"1,+DJ-$QN&!#:$"1-"HE$3a#o(!#;7$$",vt,4Q&!#5$"1nhBM;*Rj(!#;7$$"-vVK(zS&!#6$"1)GCJawKb(!#;7$$"*vW]V&!")$"1n/;/LaTu!#;7$$")%)RRb!"($"1ag+H@OZn!#;7$$"*0_Pk&!")$"1ieT`"G\r&!#;7$$")d5[d!"($"2X'*)eC'=LZ%!#<7$$"*NfC&e!")$"2jLW$yh<oJ!#<7$$"1M$e9YAs%f!#:$"2_V0vkGA0#!#<7$$"1nm"Hd&)>/'!#:$"2Q+F:XA"36!#<7$$".vVo[n8'!#7$"19_q%3&f7U!#<7$$"1ML$ez6:B'!#:$"1;>?>.VG`!#=7$$"1<a8ACofi!#:$"2`hSiuiU5"!#>7$$"/vV[I&yG'!#8$"1&o*esD[dV!#?7$$"1%eRZnBgJ'!#:$"2yw"=2$zZ:#!#>7$$"1n;/,V>Wj!#:$"1X<t.28@u!#=7$$"1Mek`b`+k!#:$"1<M3)pSFs#!#<7$$"-D1o(oX'!#6$"2Or"*)*pOM)e!#=7$$"1M$e9Jf&pl!#:$"2O$))f8#f3`"!#<7$$"1nmm;=C#o'!#:$"0Ro[$z;#y#!#:7$$"1nm;z')pxn!#:$"1w6y'>r_'R!#;7$$"1ommTb:to!#:$"1JXN6EzV^!#;7$$"2vmmTS7'op!#;$"1"pV*>0$R?'!#;7$$"1nmmm#pS1(!#:$"1AX0[()yQq!#;7$$"1Meky()e>r!#:$"1nE#H$=z$Q(!#;7$$".D1H3^<(!#7$"1P[w8B%og(!#;7$$"1$e9m/oG?(!#:$"1m9RK>&*ow!#;7$$"1mTg-yiIs!#:$"1Od/RWd'p(!#;7$$"0v$fevQes!#9$"1w[o#4J))o(!#;7$$"1LLe9t9'G(!#:$"138uJW2Xw!#;7$$"1n;aQj=(R(!#:$"1%G4+,'H0r!#;7$$",DOD#3v!#5$"1$HH**fL'**f!#;7$$"1L3-Q&ptb(!#:$"1DiB;JDY`!#;7$$"1m;a8P^1w!#:$"1)oEsMa]g%!#;7$$"/D1*)ylbw!#8$"20x)4;db(y$!#<7$$"1LLek?![q(!#:$"2`)4%)*4uo!H!#<7$$"1nT5Si%Rv(!#:$"2ddw*)Q^u(>!#<7$$".DcT!4.y!#7$"2)orB4Cv95!#<7$$"1Me9"fMA&y!#:$"1^TR:K2%\$!#=7$$"1mmmm(y8!z!#:$!1h,.*=1YX*!#<7$$"1Me9;xHbz!#:$!2XG$\sJ;-?!#<7$$".Dcm;#4!)!#7$!1a.-ShK=I!#;7$$"1oT5:c8j!)!#:$!2EY7)y@itR!#<7$$"1MLekX0<")!#:$!2lq`Q%4E\[!#<7$$"1o;ajC*[A)!#:$!1R6=IU(oH'!#;7$$"1,+]i.tK$)!#:$!1A^G-O:es!#;7$$".DJ&R2%Q)!#7$!0Q2fD;r_(!#:7$$"-vVvTN%)!#6$!19G00a/rw!#;7$$"/D1R$*3h%)!#8$!14#zg!=Q'p(!#;7$$"1,]PM6w'[)!#:$!09)*Gf@6p(!#:7$$"/voHHV7&)!#8$!1B#)yZk%el(!#;7$$"+DZ5Q&)!"*$!0%4[EdI"f(!#:7$$"1,+D1>zS')!#:$!1'*eB([Z51(!#;7$$",v3zMu)!#5$!1**R))Ry,ih!#;7$$"1o;a)QA1&))!#:$!1&3DS%Rq`\!#;7$$"1NLe*olx&*)!#:$!2&>:+@/')>O!#<7$$"1-]i!**3\1*!#:$!28!fh*yR8K#!#<7$$"1omm"H_?<*!#:$!2Ff7%)))=2@"!#<7$$"1n;a)GV/F*!#:$!2D"H<C)f*pY!#=7$$"1omT&GM)o$*!#:$!0%\TJ,3Vi!#<7$$"1oT&QyH!=%*!#:$!1[o(RsKs5*!#?7$$"1o;H#GDsY*!#:$!/#H#4D9)f$!#;7$$"1n"H2y?k^*!#:$!2ngX&ec&zm"!#=7$$"1nm;zihl&*!#:$!1X?i6c!>!R!#<7$$"1L$e9EW<n*!#:$!2mhXv%=)*e6!#<7$$"-vVA(yx*!#6$!2Bpg%R"[SC#!#<7$$"1o;/E-+%))*!#:$!1i/y7;LAN!#;7$$"1LLL3#G,***!#:$!2.aBP!4kY[!#<7$$"2K$3_Nl.55!#:$!1`f5wsM.h!#;7$$"2LL3-Dg5-"!#:$!1l@2W&zS2(!#;7$$"2L3_v5sl-"!#:$!14(y-?$y1u!#;7$$"2M$e*['R3K5!#:$!1J9B%4\#=w!#;7$$"2%3xc$*)R[."!#:$!1Hm6qF*\n(!#;7$$"2MeRA#efP5!#:$!0m)\`)3wp(!#:7$$"2%e9"4v^./"!#:$!1j&*))H%o_o(!#;7$$"2ML$ezw5V5!#:$!1_1(y+otj(!#;7$$"2-+Dc&Qq_5!#:$!1Pi*\)y$)*=(!#;7$$"2nmm;.+B1"!#:$!1s+9)*zf:j!#;7$$"2,](o>")4n5!#:$!1w))=[ppHd!#;7$$"2LL3x?'*=2"!#:$!1wbw:mfa]!#;7$$"2n;HdH%pw5!#:$!2xp.T#)[+I%!#<7$$"-v$Q#\"3"!#5$!1N=>#*3RxM!#;7$$"2nTg-Xum3"!#:$!2B)=![#Q1FD!#<7$$"2M$3x;l&=4"!#:$!2bKCan`&H:!#<7$$"0D"G$eQq4"!#8$!2m!)yc2jR.&!#=7$$"2nm"z\1A-6!#:$"1joYqe.A`!#<7$$"2L3-jr-u5"!#:$"2BY')="3#yb"!#<7$$"/D"Gy%e76!#7$"1y03)GjUb#!#;7$$"2n"HK\ow<6!#:$"1=dru+-.N!#;7$$"2NLLe"*[H7"!#:$"2:=o2-$p'Q%!#<7$$"2o;/w\-$G6!#:$"17%4hQ<W@&!#;7$$"2,+v$zglL6!#:$"1:GI63NSf!#;7$$"2M$e9h'4!R6!#:$"1cn\N1j^l!#;7$$"2om;HCjV9"!#:$"1Jw+9dBQq!#;7$$"/voCor\6!#7$"1J+l')zA$R(!#;7$$"2MLekSq]:"!#:$"1xqR]]"Hh(!#;7$$"0vVt>Zx:"!#8$"1'4#QISxrw!#;7$$"2n;H#))RUg6!#:$"1jks(fHpp(!#;7$$"2Me9"z25j6!#:$"1J)*oZW&))o(!#;7$$"*dxd;"!"($"1fcm?PA[w!#;7$$"2-+D1W_i<"!#:$"1_w6kTS&>(!#;7$$"2,+]7JFn="!#:$"1ZD_<?lRj!#;7$$"2,+v==-s>"!#:$"1JzuPm'e>&!#;7$$",D0xw?"!"*$"1;h#eY3N!R!#;7$$"2-]P%G?"y@"!#:$"2x5+xlnHl#!#<7$$".vV+ZzA"!#6$"1okO)>+h`"!#;7$$"/DJ!)>3Q7!#7$"1s*QF,7.p'!#<7$$"2,+]i&p@[7!#:$"2[HZ%QQg49!#=7$$"1DJ&pCI5D"!#9$"1KKSs'=3F'!#=7$$"0Dcw`VQD"!#8$"1x&y*z-uf:!#=7$$"1v$f$Golc7!#9$"1v$o^+DY"y!#B7$$"/D1>,Zf7!#7$"2_VYbppTg"!#>7$$"2-vo/q'4l7!#:$"2eb1tK#zA9!#=7$$".v=GB2F"!#6$"2uVGXD2K!R!#=7$$"/voWk(>G"!#7$"0'oIs6y;7!#:7$$",vgHKH"!"*$"2O&oMx:3"R#!#<7$$"2lm"zu5M.8!#:$"19)*3H'4-i$!#;7$$"2LL$3UDX88!#:$"1pT"3NG3)[!#;7$$".v$4ScB8!#6$"1%e0=&oaPg!#;7$$"2lmmmZvOL"!#:$"0KhAFq4'p!#:7$$"2KLe9bt!R8!#:$"1P@%pN%))=t!#;7$$"2)***\iirWM"!#:$"1xZ/&[IUc(!#;7$$"2K$ekj1<Z8!#:$"1%><K9%4Tw!#;7$$"2nmT5qp)\8!#:$"1)\!pQz'eo(!#;7$$"/vVQ(oDN"!#7$"18&RFrLwp(!#;7$$"2LLLexn_N"!#:$"17KIdpnvw!#;7$$"2om;a#R1m8!#:$"1F/D#>7PC(!#;7$$"2,++]2goP"!#:$"1QK<S+Gqi!#;7$$"2n"H2L:v"Q"!#:$"1;K;ow8kc!#;7$$"2L$e9"*Hk'Q"!#:$"2cHY_=ei'\!#<7$$"0v=#\W`"R"!#8$"2cX%=dI<(=%!#<7$$"2nm"H2fU'R"!#:$"2bSTt;)4RL!#<7$$"2Lek`O<8S"!#:$"2RD7H2#oNC!#<7$$"/vVB)3iS"!#7$"2YA?feB<\"!#<7$$"2mT5:G+6T"!#:$"2%\N%RBZ'G_!#=7$$"2KL$eR<*fT"!#:$!1,wS'*RMZX!#<7$$"2mTg_RR8U"!#:$!2W'pmG:B9:!#<7$$"/v$40(oE9!#7$!1J6Fq(HNa#!#;7$$"2Me9mqM?V"!#:$!1t$)e/PEAN!#;7$$"2nm"HiBQP9!#:$!2&36=JVKJW!#<7$$"2,voz,IFW"!#:$!1'*G#QgKLD&!#;7$$"2N$ektw2[9!#:$!1&z6cqoI(f!#;7$$"2p"HKH`U`9!#:$!1tzK)3Yyd'!#;7$$"2-++])Hxe9!#:$!1:'=zr?y0(!#;7$$"2OeRAr/QY"!#:$!1A,K!R!Q*Q(!#;7$$"2o;z%Rk$)o9!#:$!1Kmg#R59g(!#;7$$"2&e*)4.BNr9!#:$!1hJ@`rOiw!#;7$$"0v=n;oQZ"!#8$!1mM/xb[$p(!#;7$$"2;aQ..%Qw9!#:$!1X-S\y6&p(!#;7$$"2LLeR*)**)y9!#:$!1Can$)\xnw!#;7$$"/vV[L'*)["!#7$!1^HAjbA%G(!#;7$$"2mm;H!o-*\"!#:$!16d>:ZI;l!#;7$$"2*****\7ga4:!#:$!1o-jO$o)3a!#;7$$"2ML$3A_1?:!#:$!2P6"el90ET!#<7$$"2omm;V%eI:!#:$!1lc'ylS!>G!#;7$$"2,+]7k.6a"!#:$!2Fpu)pV<P;!#<7$$"2o;a84)Q^:!#:$!1$="QO&)z*H(!#<7$$"2MLe9as;c"!#:$!270Z!y"\Ll"!#=7$$"1vV)RlVUc"!#9$!1*H@l+<ob)!#=7$$"2nT5lw9oc"!#:$!2WF(\SzPmJ!#>7$$"2$ek.zeQp:!#:$!16wD/i1yR!#>7$$"/Dc"*p&>d"!#7$!2D/%H_H)Rp#!#?7$$"2Le9m@*4x:!#:$!1-a*3b7!>z!#=7$$"2mmm;WTAe"!#:$!2D@BE*)G8f#!#=7$$"2)*\7yI3If"!#:$!0Bg77sxY*!#;7$$"1L$eR<vPg"!#9$!1>M![$HX%)>!#;7$$"2l;/,/UXh"!#:$!2YbvXso8D$!#<7$$"-D1*3`i"!#5$!1vPxA7*zf%!#;7$$"1L3-y'ycj"!#9$!1ilwD_Z=e!#;7$$"2nm"z\%[gk"!#:$!1<4H(RV+#o!#;7$$"2.]i:A=kl"!#:$!1ku'*em0yu!#;7$$"2NLLL*zym;!#:$!1\)ptQ9vp(!#;7$$"2NL3Fe#Rx;!#:$!1WPeC!*Q5u!#;7$$"2OL$3sr*zo"!#:$!1B!QeN%3&f'!#;7$$"2O$3xm%*H$p"!#:$!1x6)[MS(**f!#;7$$"2OLe9w,')p"!#:$!1i_gv(H4H&!#;7$$"2O$e9cS!Rq"!#:$!2EQ#H?A!4[%!#<7$$"2OLL3N1#4<!#:$!1hD^M>P%e$!#;7$$"2.vV)RZY9<!#:$!202&>_(*REE!#<7$$"1nT&)GJs><!#9$!1Uh9"=ezh"!#;7$$"2Oeky^")\s"!#:$!1.l_xrA$y&!#<7$$"2-+vo!*R-t"!#:$"0\NI98[s%!#;7$$"1<a)eH)\N<!#9$"2'3s1f+;9:!#<7$$"2O$e*[oc2u"!#:$"2mKjw1Rm_#!#<7$$"2-D1R2:gu"!#:$"1_H#)3ea!\$!#;7$$"1nm"HYt7v"!#9$"2c#e=7[n(Q%!#<7$$"/vo*GP4w"!#7$"1Q8n!R'G3e!#;7$$"2PLek6,1x"!#:$"18nNYCWko!#;7$$"1n"HK%\E!y"!#9$"1MR;B$e7](!#;7$$"2-+++xG**y"!#:$"1b;5>dT(p(!#;7$$"1n;/1Y+,=!#9$"1KURqIh*R(!#;7$$"2QL$3U/37=!#:$"1H[)QZ&p;m!#;7$$"20+D"yi:B=!#:$"1o<:J7Gsa!#;7$$"1nm;9@BM=!#9$"17q:!3%4DT!#;7$$"2MLeRZQT%=!#:$"2'*GV<SBA*G!#<7$$"2.+]P$[/a=!#:$"2%)>9nGPJw"!#<7$$"1n;a$>^R'=!#9$"1mR*oG*f.&)!#<7$$"2OLLLbdQ(=!#:$"1m/"))GS"QC!#<7$$"1Dcw9")\w=!#9$"2()[9Wkp?U"!#=7$$"1<z>w'Q"z=!#9$"1#f!H(**R#[n!#=7$$"2(3-jP#z<)=!#:$"2&4@3*e\h,#!#>7$$"2-]i!*z>W)=!#:$"1'4?QQZ8u&!#?7$$"2<z%\g.1()=!#:$"1$*z=(3Ho&))!#>7$$"2N3F>#4q*)=!#:$"1pcE!e&=&\%!#=7$$"2`PfL[TB*=!#:$"2i(p5@i2'3"!#=7$$"2om"zW?)\*=!#:$"1G#p;h-Q*>!#<7$$"2M$3_!HWb!>!#:$"1)QMz*pB#=)!#<7$$"-DOl5;>!#5$"14BRH2P)y"!#;7$$".DJ&f@E>!#6$"14feD&pg%H!#;7$$"*PDj$>!"($"1s1x[P<1U!#;7$$"2/+voyMk%>!#:$"1>m(*)4l`V&!#;7$$"2-+]P?Wl&>!#:$"1fPxi@a*\'!#;7$$"/D"G:3u'>!#7$"1m>8x!)y>t!#;7$$"2.+v=5s#y>!#:$"1:ql"oMno(!#;7$$"1D19*3))4)>!#9$"1WV.NOU(p(!#;7$$"0D1k2/P)>!#8$"1$*QmSC%Rn(!#;7$$"1v=nj+U')>!#9$"1[U)>^%y:w!#;7$$"/v$40O"*)>!#7$"1mqCr8mAv!#;7$$"2-voa-oX*>!#:$"1GLA,"p9B(!#;7$$"$+#!""$"1UF96_Z-o!#;-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'CURVESG6$7ct7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#<$"2FgFGX,x3"!#<7$$"2mmmmT:(z@!#<$"2omk:3'\i@!#<7$$"+DJdpK!#5$"1"*yP;-j6K!#;7$$"1LLLL3VfV!#;$"1%p(fyYlAU!#;7$$",Dc*)fD'!#6$"1"f*)Q**Ge&e!#;7$$"1nmm"H[D:)!#;$"1">.Ca.!zs!#;7$$"-v$pU&G5!#6$"1W?$RIyac)!#;7$$"2LLL$e0$=C"!#;$"17_GI(pPY*!#;7$$"2MLLeR"=\8!#;$"19xP6vVb(*!#;7$$"2NLLLBKlX"!#;$"1v>a"e*yM**!#;7$$"2ML$3_w?5:!#;$"0ieon];)**!#:7$$"2OLL32$)Qc"!#;$"0z6a.h(****!#:7$$"2PL$e*[evh"!#;$"1>$oG\o!*)**!#;7$$"2OLL$3RBr;!#;$"1:()eZQg\**!#;7$$"2-+]P9:\)=!#;$"0W8w9!p5&*!#:7$$"2mmm"zjf)4#!#;$"0)y*fGr"R')!#:7$$",vB1nH#!#5$"1*oe:=d*yu!#;7$$"2MLLe4;[\#!#;$"0)>=f8<Eg!#:7$$"1nm;zt%**p#!#:$"0<;n_uUF%!#:7$$",Dmy]!H!#5$"2%HrRh4:VB!#<7$$"2OLLe>_6,$!#;$"2Xhz:r32I"!#<7$$"1nm;HdA<J!#:$"1oSm>8XOC!#<7$$"2.++DE*HBK!#;$!1[%ySus:;)!#<7$$"2PLLezs$HL!#;$!2Z&QA<_ym=!#<7$$"*:1^V$!")$!1%H`gRsJ*G!#;7$$"2nmmT]R3a$!#;$!2.nAPNXs)Q!#<7$$"2KLL$eGdYO!#;$!2C-g#f6!z$[!#<7$$",D@1Bv$!#5$!1V"[N"=_Md!#;7$$"1MLe9d#)pR!#:$!1.!y[bxtO(!#;7$$"1nmm;_M(=%!#:$!16o\e+-`')!#;7$$"1,+]7l$*yV!#:$!1Z^:%fz"\%*!#;7$$"1MLL3y_qX!#:$!1.9$enX&**)*!#;7$$"1n;a8%\Wi%!#:$!1OGBv!e8'**!#;7$$"1,+v=5PyY!#:$!1(y$R\W@%***!#;7$$"1M$eRi#HKZ!#:$!1sFD!H>!)***!#;7$$"1nm;HU@'y%!#:$!1b[wP:ws**!#;7$$"1LLeRu0%*[!#:$!1X(z**>Oa$)*!#;7$$"20+++l+>+&!#;$!1_n7/S$Qe*!#;7$$")FZ=_!"($!1PA#**['\Y()!#;7$$"*vW]V&!")$!1"o#Rh!>0](!#;7$$"*0_Pk&!")$!1f%eYj2u'f!#;7$$"*NfC&e!")$!1;*[ti0`<%!#;7$$"1nm"Hd&)>/'!#:$!1.!o_-y')Q#!#;7$$"1ML$ez6:B'!#:$!1TGlR=0l^!#<7$$"1n;/,V>Wj!#:$"2cZt-S:r4'!#=7$$"-D1o(oX'!#6$"2L$*zJt%>G<!#<7$$"1M$e9Jf&pl!#:$"1L\+ZwvCG!#;7$$"1nmm;=C#o'!#:$"2w?G!o:\&)Q!#<7$$"1ommTb:to!#:$"1\!3H*GOjb!#;7$$"1nmmm#pS1(!#:$"1UB>Jc2Rq!#;7$$"1LLe9t9'G(!#:$"1G&Heqw1V)!#;7$$",DOD#3v!#5$"1Nr3]T>3%*!#;7$$"1m;a8P^1w!#:$"1:P(\hd`p*!#;7$$"1LLek?![q(!#:$"1^Dm([L*)))*!#;7$$"1nT5Si%Rv(!#:$"12zj6j+]**!#;7$$".DcT!4.y!#7$"1_Q49K0()**!#;7$$"1Me9"fMA&y!#:$"1c1@RZ)*****!#;7$$"1mmmm(y8!z!#:$"0$3qh'p())**!#:7$$"1MLekX0<")!#:$"0r8#fU&fl*!#:7$$"1,+]i.tK$)!#:$"0AKOR?d())!#:7$$"+DZ5Q&)!"*$"11J5fat\x!#;7$$",v3zMu)!#5$"1aYW<Y-)H'!#;7$$"1o;a)QA1&))!#:$"14Z)eff7V&!#;7$$"1NLe*olx&*)!#:$"1$>$HP]?-X!#;7$$"1-]i!**3\1*!#:$"2W!pD)*f^@N!#<7$$"1omm"H_?<*!#:$"2D&[?;(R/]#!#<7$$"1omT&GM)o$*!#:$"1t$o8))\9f&!#<7$$"1nm;zihl&*!#:$!2MC+!==t.9!#<7$$"1L$e9EW<n*!#:$!1PbZjVjWC!#;7$$"-vVA(yx*!#6$!1%GPEYG!eM!#;7$$"1o;/E-+%))*!#:$!1o'[i"3^KW!#;7$$"1LLL3#G,***!#:$!1#\VE)f6d`!#;7$$"2LL3-Dg5-"!#:$!1x<=;@3uq!#;7$$"2ML$ezw5V5!#:$!1G]^Yad[%)!#;7$$"2nmm;.+B1"!#:$!0W6bqMRJ*!#:7$$"-v$Q#\"3"!#5$!1H!R([.FP)*!#;7$$"2nTg-Xum3"!#:$!1ZezX"Hr"**!#;7$$"2M$3x;l&=4"!#:$!1,%R%GEOq**!#;7$$"0D"G$eQq4"!#8$!11kXwy#o***!#;7$$"2nm"z\1A-6!#:$!1#[mk$QX'***!#;7$$"2L3-jr-u5"!#:$!0)[o7:Cp**!#:7$$"/D"Gy%e76!#7$!1&QEU'RE:**!#;7$$"2n"HK\ow<6!#:$!1Lw&*3hmM)*!#;7$$"2NLLe"*[H7"!#:$!1_WUMVmF(*!#;7$$"2om;HCjV9"!#:$!1v<)eX+H,*!#;7$$"*dxd;"!"($!1%\!*G&fS')y!#;7$$"2,+]7JFn="!#:$!1lx?j:FNk!#;7$$",D0xw?"!"*$!1FS[i*HFq%!#;7$$"2-]P%G?"y@"!#:$!2d9cN[&p&y$!#<7$$".vV+ZzA"!#6$!20J^8Z3)HG!#<7$$"/DJ!)>3Q7!#7$!2FTf#z"z[%=!#<7$$"2,+]i&p@[7!#:$!1oeK6#f,T)!#<7$$"/D1>,Zf7!#7$"23,SHmyE$G!#=7$$".v=GB2F"!#6$"1_L]7$oRS"!#;7$$"/voWk(>G"!#7$"2&QZ8Y&3p]#!#<7$$",vgHKH"!"*$"1njoij8yN!#;7$$"2LL$3UDX88!#:$"1w!Qtgw2Q&!#;7$$"2lmmmZvOL"!#:$"1v\&Hu4T'p!#;7$$"2LLLexn_N"!#:$"1<lL+0%*R$)!#;7$$"2,++]2goP"!#:$"1e!3\u[%G$*!#;7$$"2L$e9"*Hk'Q"!#:$"1UuFc/uN'*!#;7$$"2nm"H2fU'R"!#:$"1)4KsS')3&)*!#;7$$"2Lek`O<8S"!#:$"0s$QgnAB**!#:7$$"/vVB)3iS"!#7$"1iiZv"H=(**!#;7$$"2mT5:G+6T"!#:$"1^fz(Qxl***!#;7$$"2KL$eR<*fT"!#:$"1C$zc>7u***!#;7$$"2mTg_RR8U"!#:$"1PCky7'4(**!#;7$$"/v$40(oE9!#7$"1leGyF+;**!#;7$$"2Me9mqM?V"!#:$"1JpHCQpK)*!#;7$$"2nm"HiBQP9!#:$"1h,.-EF@(*!#;7$$"2N$ektw2[9!#:$"1VGqcqW:%*!#;7$$"2-++])Hxe9!#:$"1B3eP6--!*!#;7$$"2LLeR*)**)y9!#:$"1")R4Fwt\z!#;7$$"2mm;H!o-*\"!#:$"1Cy<&*=]wl!#;7$$"2ML$3A_1?:!#:$"1D(f(frGe[!#;7$$"2,+]7k.6a"!#:$"2LB"z'GHe#H!#<7$$"2o;a84)Q^:!#:$"1lvN%*>mG>!#;7$$"2MLe9as;c"!#:$"1O^hYB86"*!#<7$$"/Dc"*p&>d"!#7$!2%\V43(Q1;"!#=7$$"2mmm;WTAe"!#:$!2o?o8X9?9"!#<7$$"2)*\7yI3If"!#:$!1kyd&[yH?#!#;7$$"1L$eR<vPg"!#9$!1>3cj!H%QK!#;7$$"2l;/,/UXh"!#:$!2(G[$QFujB%!#<7$$"-D1*3`i"!#5$!1$fgvcc_=&!#;7$$"2nm"z\%[gk"!#:$!1em?vM"[$o!#;7$$"2NLLL*zym;!#:$!1\&*)QrP9>)!#;7$$"2OL$3sr*zo"!#:$!0QbQTB`@*!#:7$$"2OLL3N1#4<!#:$!1$RNvZGi#)*!#;7$$"2.vV)RZY9<!#:$!1C=_/V?5**!#;7$$"1nT&)GJs><!#9$!1p=."3%ym**!#;7$$"2Oeky^")\s"!#:$!1lIK'R6e***!#;7$$"2-+vo!*R-t"!#:$!1E*fk+1s***!#;7$$"1<a)eH)\N<!#9$!1UD9cS'4(**!#;7$$"2O$e*[oc2u"!#:$!/VO*3er"**!#97$$"2-D1R2:gu"!#:$!1#>p)[o$f$)*!#;7$$"1nm"HYt7v"!#9$!1_J'\'[_F(*!#;7$$"2PLek6,1x"!#:$!17A<a03,"*!#;7$$"2-+++xG**y"!#:$!1j8ha\rN")!#;7$$"2QL$3U/37=!#:$!1D6)yl(Qfm!#;7$$"1nm;9@BM=!#9$!1t+rG0id[!#;7$$"2.+]P$[/a=!#:$!2xjFSP'3UI!#<7$$"2OLLLbdQ(=!#:$!2j4*e2r_26!#<7$$"2-]i!*z>W)=!#:$!1RbRy_!zN&!#=7$$"2om"zW?)\*=!#:$"2l@()*zh'4+"!#<7$$"2M$3_!HWb!>!#:$"1U[=3\NW?!#;7$$"-DOl5;>!#5$"2Ni@nzd\1$!#<7$$"*PDj$>!"($"1<(G"y6,9\!#;7$$"2-+]P?Wl&>!#:$"1(ppQfiGc'!#;7$$"2.+v=5s#y>!#:$"1-mZ^73N!)!#;7$$"$+#!""$"1xiF2DXH"*!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7ct7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#<$!2FgFGX,x3"!#<7$$"2mmmmT:(z@!#<$!2omk:3'\i@!#<7$$"+DJdpK!#5$!1"*yP;-j6K!#;7$$"1LLLL3VfV!#;$!1%p(fyYlAU!#;7$$",Dc*)fD'!#6$!1"f*)Q**Ge&e!#;7$$"1nmm"H[D:)!#;$!1">.Ca.!zs!#;7$$"-v$pU&G5!#6$!1W?$RIyac)!#;7$$"2LLL$e0$=C"!#;$!17_GI(pPY*!#;7$$"2MLLeR"=\8!#;$!19xP6vVb(*!#;7$$"2NLLLBKlX"!#;$!1v>a"e*yM**!#;7$$"2ML$3_w?5:!#;$!0ieon];)**!#:7$$"2OLL32$)Qc"!#;$!0z6a.h(****!#:7$$"2PL$e*[evh"!#;$!1>$oG\o!*)**!#;7$$"2OLL$3RBr;!#;$!1:()eZQg\**!#;7$$"2-+]P9:\)=!#;$!0W8w9!p5&*!#:7$$"2mmm"zjf)4#!#;$!0)y*fGr"R')!#:7$$",vB1nH#!#5$!1*oe:=d*yu!#;7$$"2MLLe4;[\#!#;$!0)>=f8<Eg!#:7$$"1nm;zt%**p#!#:$!0<;n_uUF%!#:7$$",Dmy]!H!#5$!2%HrRh4:VB!#<7$$"2OLLe>_6,$!#;$!2Xhz:r32I"!#<7$$"1nm;HdA<J!#:$!1oSm>8XOC!#<7$$"2.++DE*HBK!#;$"1[%ySus:;)!#<7$$"2PLLezs$HL!#;$"2Z&QA<_ym=!#<7$$"*:1^V$!")$"1%H`gRsJ*G!#;7$$"2nmmT]R3a$!#;$"2.nAPNXs)Q!#<7$$"2KLL$eGdYO!#;$"2C-g#f6!z$[!#<7$$",D@1Bv$!#5$"1V"[N"=_Md!#;7$$"1MLe9d#)pR!#:$"1.!y[bxtO(!#;7$$"1nmm;_M(=%!#:$"16o\e+-`')!#;7$$"1,+]7l$*yV!#:$"1Z^:%fz"\%*!#;7$$"1MLL3y_qX!#:$"1.9$enX&**)*!#;7$$"1n;a8%\Wi%!#:$"1OGBv!e8'**!#;7$$"1,+v=5PyY!#:$"1(y$R\W@%***!#;7$$"1M$eRi#HKZ!#:$"1sFD!H>!)***!#;7$$"1nm;HU@'y%!#:$"1b[wP:ws**!#;7$$"1LLeRu0%*[!#:$"1X(z**>Oa$)*!#;7$$"20+++l+>+&!#;$"1_n7/S$Qe*!#;7$$")FZ=_!"($"1PA#**['\Y()!#;7$$"*vW]V&!")$"1"o#Rh!>0](!#;7$$"*0_Pk&!")$"1f%eYj2u'f!#;7$$"*NfC&e!")$"1;*[ti0`<%!#;7$$"1nm"Hd&)>/'!#:$"1.!o_-y')Q#!#;7$$"1ML$ez6:B'!#:$"1TGlR=0l^!#<7$$"1n;/,V>Wj!#:$!2cZt-S:r4'!#=7$$"-D1o(oX'!#6$!2L$*zJt%>G<!#<7$$"1M$e9Jf&pl!#:$!1L\+ZwvCG!#;7$$"1nmm;=C#o'!#:$!2w?G!o:\&)Q!#<7$$"1ommTb:to!#:$!1\!3H*GOjb!#;7$$"1nmmm#pS1(!#:$!1UB>Jc2Rq!#;7$$"1LLe9t9'G(!#:$!1G&Heqw1V)!#;7$$",DOD#3v!#5$!1Nr3]T>3%*!#;7$$"1m;a8P^1w!#:$!1:P(\hd`p*!#;7$$"1LLek?![q(!#:$!1^Dm([L*)))*!#;7$$"1nT5Si%Rv(!#:$!12zj6j+]**!#;7$$".DcT!4.y!#7$!1_Q49K0()**!#;7$$"1Me9"fMA&y!#:$!1c1@RZ)*****!#;7$$"1mmmm(y8!z!#:$!0$3qh'p())**!#:7$$"1MLekX0<")!#:$!0r8#fU&fl*!#:7$$"1,+]i.tK$)!#:$!0AKOR?d())!#:7$$"+DZ5Q&)!"*$!11J5fat\x!#;7$$",v3zMu)!#5$!1aYW<Y-)H'!#;7$$"1o;a)QA1&))!#:$!14Z)eff7V&!#;7$$"1NLe*olx&*)!#:$!1$>$HP]?-X!#;7$$"1-]i!**3\1*!#:$!2W!pD)*f^@N!#<7$$"1omm"H_?<*!#:$!2D&[?;(R/]#!#<7$$"1omT&GM)o$*!#:$!1t$o8))\9f&!#<7$$"1nm;zihl&*!#:$"2MC+!==t.9!#<7$$"1L$e9EW<n*!#:$"1PbZjVjWC!#;7$$"-vVA(yx*!#6$"1%GPEYG!eM!#;7$$"1o;/E-+%))*!#:$"1o'[i"3^KW!#;7$$"1LLL3#G,***!#:$"1#\VE)f6d`!#;7$$"2LL3-Dg5-"!#:$"1x<=;@3uq!#;7$$"2ML$ezw5V5!#:$"1G]^Yad[%)!#;7$$"2nmm;.+B1"!#:$"0W6bqMRJ*!#:7$$"-v$Q#\"3"!#5$"1H!R([.FP)*!#;7$$"2nTg-Xum3"!#:$"1ZezX"Hr"**!#;7$$"2M$3x;l&=4"!#:$"1,%R%GEOq**!#;7$$"0D"G$eQq4"!#8$"11kXwy#o***!#;7$$"2nm"z\1A-6!#:$"1#[mk$QX'***!#;7$$"2L3-jr-u5"!#:$"0)[o7:Cp**!#:7$$"/D"Gy%e76!#7$"1&QEU'RE:**!#;7$$"2n"HK\ow<6!#:$"1Lw&*3hmM)*!#;7$$"2NLLe"*[H7"!#:$"1_WUMVmF(*!#;7$$"2om;HCjV9"!#:$"1v<)eX+H,*!#;7$$"*dxd;"!"($"1%\!*G&fS')y!#;7$$"2,+]7JFn="!#:$"1lx?j:FNk!#;7$$",D0xw?"!"*$"1FS[i*HFq%!#;7$$"2-]P%G?"y@"!#:$"2d9cN[&p&y$!#<7$$".vV+ZzA"!#6$"20J^8Z3)HG!#<7$$"/DJ!)>3Q7!#7$"2FTf#z"z[%=!#<7$$"2,+]i&p@[7!#:$"1oeK6#f,T)!#<7$$"/D1>,Zf7!#7$!23,SHmyE$G!#=7$$".v=GB2F"!#6$!1_L]7$oRS"!#;7$$"/voWk(>G"!#7$!2&QZ8Y&3p]#!#<7$$",vgHKH"!"*$!1njoij8yN!#;7$$"2LL$3UDX88!#:$!1w!Qtgw2Q&!#;7$$"2lmmmZvOL"!#:$!1v\&Hu4T'p!#;7$$"2LLLexn_N"!#:$!1<lL+0%*R$)!#;7$$"2,++]2goP"!#:$!1e!3\u[%G$*!#;7$$"2L$e9"*Hk'Q"!#:$!1UuFc/uN'*!#;7$$"2nm"H2fU'R"!#:$!1)4KsS')3&)*!#;7$$"2Lek`O<8S"!#:$!0s$QgnAB**!#:7$$"/vVB)3iS"!#7$!1iiZv"H=(**!#;7$$"2mT5:G+6T"!#:$!1^fz(Qxl***!#;7$$"2KL$eR<*fT"!#:$!1C$zc>7u***!#;7$$"2mTg_RR8U"!#:$!1PCky7'4(**!#;7$$"/v$40(oE9!#7$!1leGyF+;**!#;7$$"2Me9mqM?V"!#:$!1JpHCQpK)*!#;7$$"2nm"HiBQP9!#:$!1h,.-EF@(*!#;7$$"2N$ektw2[9!#:$!1VGqcqW:%*!#;7$$"2-++])Hxe9!#:$!1B3eP6--!*!#;7$$"2LLeR*)**)y9!#:$!1")R4Fwt\z!#;7$$"2mm;H!o-*\"!#:$!1Cy<&*=]wl!#;7$$"2ML$3A_1?:!#:$!1D(f(frGe[!#;7$$"2,+]7k.6a"!#:$!2LB"z'GHe#H!#<7$$"2o;a84)Q^:!#:$!1lvN%*>mG>!#;7$$"2MLe9as;c"!#:$!1O^hYB86"*!#<7$$"/Dc"*p&>d"!#7$"2%\V43(Q1;"!#=7$$"2mmm;WTAe"!#:$"2o?o8X9?9"!#<7$$"2)*\7yI3If"!#:$"1kyd&[yH?#!#;7$$"1L$eR<vPg"!#9$"1>3cj!H%QK!#;7$$"2l;/,/UXh"!#:$"2(G[$QFujB%!#<7$$"-D1*3`i"!#5$"1$fgvcc_=&!#;7$$"2nm"z\%[gk"!#:$"1em?vM"[$o!#;7$$"2NLLL*zym;!#:$"1\&*)QrP9>)!#;7$$"2OL$3sr*zo"!#:$"0QbQTB`@*!#:7$$"2OLL3N1#4<!#:$"1$RNvZGi#)*!#;7$$"2.vV)RZY9<!#:$"1C=_/V?5**!#;7$$"1nT&)GJs><!#9$"1p=."3%ym**!#;7$$"2Oeky^")\s"!#:$"1lIK'R6e***!#;7$$"2-+vo!*R-t"!#:$"1E*fk+1s***!#;7$$"1<a)eH)\N<!#9$"1UD9cS'4(**!#;7$$"2O$e*[oc2u"!#:$"/VO*3er"**!#97$$"2-D1R2:gu"!#:$"1#>p)[o$f$)*!#;7$$"1nm"HYt7v"!#9$"1_J'\'[_F(*!#;7$$"2PLek6,1x"!#:$"17A<a03,"*!#;7$$"2-+++xG**y"!#:$"1j8ha\rN")!#;7$$"2QL$3U/37=!#:$"1D6)yl(Qfm!#;7$$"1nm;9@BM=!#9$"1t+rG0id[!#;7$$"2.+]P$[/a=!#:$"2xjFSP'3UI!#<7$$"2OLLLbdQ(=!#:$"2j4*e2r_26!#<7$$"2-]i!*z>W)=!#:$"1RbRy_!zN&!#=7$$"2om"zW?)\*=!#:$!2l@()*zh'4+"!#<7$$"2M$3_!HWb!>!#:$!1U[=3\NW?!#;7$$"-DOl5;>!#5$!2Ni@nzd\1$!#<7$$"*PDj$>!"($!1<(G"y6,9\!#;7$$"2-+]P?Wl&>!#:$!1(ppQfiGc'!#;7$$"2.+v=5s#y>!#:$!1-mZ^73N!)!#;7$$"$+#!""$!1xiF2DXH"*!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$""!!""$"$+#!"";$!2$3z(GT)**R5!#;$"2$3z(GT)**R5!#;-%+AXESLABELSG6'Q"t6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+%!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%+I!""-%.BOUNDS_HEIGHTG6#$"%![#!""-%)CHILDRENG6"

omega:=2:plot([sol(t),env(t),-env(t)],t=0..20,color=[black,red,red]);

6*-%'CURVESG6$7]]l7$$""!!""$""!!""7$$"2mmmmT:(z@!#<$"1O.N]p3@!*!#<7$$"1LLLL3VfV!#;$"2l'HhRe\nI!#<7$$",Dc*)fD'!#6$"1k^<'zhM#\!#;7$$"1nmm"H[D:)!#;$"195UK>wic!#;7$$"1MLe9w)*=#*!#;$"1,a7*))\WG&!#;7$$"-v$pU&G5!#6$"1*p'3k")o[U!#;7$$"2lmTgi'=N6!#;$"2:(4>$[Z<d#!#<7$$"2LLL$e0$=C"!#;$"1Yw%3?j[W$!#<7$$"2LL$3xf]&H"!#;$!1'*fbNNem$*!#<7$$"2MLLeR"=\8!#;$!2dGYW%QZ"H#!#<7$$"2OL$e9o&GS"!#;$!1P1#)eEy!p$!#;7$$"2NLLLBKlX"!#;$!1*fUEDhI5&!#;7$$"2OLL32$)Qc"!#;$!1[mtt!HL$y!#;7$$"2OLL$3RBr;!#;$!2$**==>JL@5!#;7$$"2omTg_u!y<!#;$!2xaig#zD)>"!#;7$$"2-+]P9:\)=!#;$!2\,PT;3WH"!#;7$$"2O3x")HD;">!#;$!2v2p&z)[RI"!#;7$$"1nTg_aLQ>!#:$!2BM,>&eL28!#;7$$"0DJqgX]'>!#9$!2_qKCD[WI"!#;7$$"2MLe9wb<*>!#;$!27F#[%[*>&H"!#;7$$"/DJqg<X?!#8$!23X#pT"[uD"!#;7$$"2mmm"zjf)4#!#;$!29kmj%45%>"!#;7$$"2OLL$38l(>#!#;$!13Lm0HO65!#:7$$",vB1nH#!#5$!0P(3"Rv2_(!#:7$$"2NL$3-PBYB!#;$!0Zr(oeq#)f!#:7$$"2lmmm;hdR#!#;$!2Yr0(\*\ZJ%!#<7$$"-DJ')GXC!#6$!2BN$y7y(Ra#!#<7$$"2MLLe4;[\#!#;$!0z/:]6!)*p!#;7$$"2ommm"*)4YD!#;$"2CD]&f;"QD"!#<7$$",vt"Q(f#!#5$"2x%pV@hp;K!#<7$$"2NLL$eXm[E!#;$"1FXH()QD_^!#;7$$"1nm;zt%**p#!#:$"12Z,&p?S-(!#;7$$")-B^F!"($"0MpzVIkz)!#:7$$"2NLL3-8D!G!#;$"2[\)eTkbV5!#;7$$"1nmmTez`G!#:$"2#4oM-p)4>"!#;7$$",Dmy]!H!#5$"2(=B8!e#3>8!#;7$$"2OLLe>_6,$!#;$"2=)4&\@bC^"!#;7$$"1nm;HdA<J!#:$"16+DbO"pf"!#:7$$"2.++D6WP9$!#;$"2e(pVIf(**f"!#;7$$"2OLLe\i-<$!#;$"1fnw#*zs&f"!#:7$$"1nm;z3y'>$!#:$"2'*4#)*>@>%e"!#;7$$"2.++DE*HBK!#;$"2X3w%*zGac"!#;7$$"1nm;HgLwK!#:$"28RK1^]m]"!#;7$$"2PLLezs$HL!#;$"1(*o@1Ei?9!#:7$$"1nm"HZRAQ$!#:$"1bEJ*GP&48!#:7$$"*:1^V$!")$"2GdfeVga<"!#;7$$"2ML$3FG(z[$!#;$"2d?KN%y:@5!#;7$$"2nmmT]R3a$!#;$"1ZXPWN*z\)!#;7$$"-D"=1Pf$!#6$"1)GK#Q9()[m!#;7$$"2KLL$eGdYO!#;$"1/))3ntw,Z!#;7$$"2lm;a`R%*p$!#;$"2uL*G`j#fp#!#<7$$",D@1Bv$!#5$"1:Y1sk09n!#<7$$"2L$3-)3'o1Q!#;$!2_LN2I[%)Q"!#<7$$"1n;ajf1hQ!#:$!2M88?KMLQ$!#<7$$"2/]i!ReW:R!#;$!1#fk4$G(GF&!#;7$$"1MLe9d#)pR!#:$!1L83#)\m>q!#;7$$"1nT5!f0U-%!#:$!1-eh3[8!f)!#;7$$".DcY&eyS!#7$!1b;Ni%p_&**!#;7$$"1Me9T`'H8%!#:$!2P4-'oR746!#;7$$"1nmm;_M(=%!#:$!2OMp8e))z>"!#;7$$"1,]iSICNU!#:$!2P()Qed$za7!#;7$$"1MLek39$G%!#:$!2">-P0r-"H"!#;7$$"1,Dcw(*32V!#:$!2n!Q5ksR,8!#;7$$"1o;a)oQ5L%!#:$!27;=;VKmI"!#;7$$"1M3_+w)\N%!#:$!1B)z#RLy18!#:7$$"1,+]7l$*yV!#:$!2YT/(\J#>I"!#;7$$"1omTg@tuW!#:$!1Af,^ieM7!#:7$$"1MLL3y_qX!#:$!1oSFFzH)4"!#:7$$"1,+v=5PyY!#:$!1Ah1Bi]'z)!#;7$$"1nm;HU@'y%!#:$!0/,T8*fbh!#:7$$".vV$e8S[!#7$!09BC%e))[Z!#:7$$"1LLeRu0%*[!#:$!2&H5"oKZ.L$!#<7$$"1n;zW!zz%\!#:$!2XnE<_<K$>!#<7$$"20+++l+>+&!#;$!1Dq&=fA"*)e!#<7$$"20++]n'=5^!#;$"2k^$HG17Q=!#<7$$")FZ=_!"($"1=?QEkw[P!#;7$$"+D(enK&!"*$"0`dPK2=-&!#:7$$"*vW]V&!")$"1\+cf<>9c!#;7$$"2&*****\d@s[&!#;$"1$3/b#*\Um&!#;7$$")%)RRb!"($"1lC+4G^tb!#;7$$"+D_d"f&!"*$"1Pi[(z=bN&!#;7$$"*0_Pk&!")$"0J@Fu>o-&!#:7$$")d5[d!"($"2EDHK'>O:T!#<7$$"*NfC&e!")$"1:;i80Z5I!#;7$$"1nm"Hd&)>/'!#:$"19o/ARl"4"!#;7$$"1ML$ez6:B'!#:$"21O!z.*p[K&!#>7$$"/vV[I&yG'!#8$"0L,u$)euN%!#>7$$"1n;/,V>Wj!#:$"2OeAJs:UT(!#>7$$"1Mek`b`+k!#:$"2onS_M>Lr#!#=7$$"-D1o(oX'!#6$"2%e2_VhcQe!#=7$$"1M$e9Jf&pl!#:$"2Y!z\O$)\)\"!#<7$$"1nmm;=C#o'!#:$"2/`%pnv^kE!#<7$$"1ommTb:to!#:$"2EDJo>\-j%!#<7$$"1nmmm#pS1(!#:$"1T@efb&>l&!#;7$$"1^ilA!H=4(!#:$"1_;;y,[lc!#;7$$"1Meky()e>r!#:$"1m]L&e.$Qc!#;7$$"1=ajM&[t9(!#:$"1UF&*p"4*ob!#;7$$".D1H3^<(!#7$"1l6n:E3ca!#;7$$"1mTg-yiIs!#:$"1\j*4"p'o4&!#;7$$"1LLe9t9'G(!#:$"11^Rn&\ub%!#;7$$"1n;aQj=(R(!#:$"2P*>'>^BE&H!#<7$$",DOD#3v!#5$"1CP!\,())es!#<7$$"1m;a8P^1w!#:$!2<O$*H(\]J;!#<7$$"1LLek?![q(!#:$!0e1xBxX=%!#:7$$".DcT!4.y!#7$!1nrI!GZ>u'!#;7$$"1mmmm(y8!z!#:$!10*[*y\y(4*!#;7$$".Dcm;#4!)!#7$!26zW%*Q%*47"!#;7$$"1MLekX0<")!#:$!2$4qH2=kf7!#;7$$"1>HKRS,W")!#:$!2l]'*4+b1G"!#;7$$"1,D19N(4<)!#:$!2XJ>yPDdH"!#;7$$"1%3-)))H$z>)!#:$!2&G@&[2lYI"!#;7$$"1o;ajC*[A)!#:$!2WW:u]>tI"!#;7$$"1N3-89")y#)!#:$!2KAk\;GLH"!#;7$$"1,+]i.tK$)!#:$!2Z0^@-CKD"!#;7$$"-vVvTN%)!#6$!2DS8Vp^`5"!#;7$$"+DZ5Q&)!"*$!11(Qas$[*p)!#;7$$".DcJ[%*e)!#7$!0@&[7SGNs!#:7$$"1,+D1>zS')!#:$!1-okmbC5c!#;7$$".vo\N@p)!#7$!1b-pjt1_Q!#;7$$",v3zMu)!#5$!2A?q>2/;*>!#<7$$"1M3-Q20(z)!#:$"2MHtYO%o\A!#>7$$"1o;a)QA1&))!#:$"2_bg3i5:2#!#<7$$"1,D1RS>/*)!#:$"1Uw:!edS6%!#;7$$"1NLe*olx&*)!#:$"/*R5c'Q3h!#97$$"1oT5StL6!*!#:$"10m0ygK8!)!#;7$$"1-]i!**3\1*!#:$"1$pU69G#*y*!#;7$$"1Ne9T1[="*!#:$"2XH-g<)))R6!#;7$$"1omm"H_?<*!#:$"2ed9JQP3G"!#;7$$"1n;a)GV/F*!#:$"2Z+noyizZ"!#;7$$"1omT&GM)o$*!#:$"11kWIsv$e"!#:7$$"1<ajM?V$R*!#:$"2VR/>x$*[f"!#;7$$"1oT&QyH!=%*!#:$"2#["o'4Kw*f"!#;7$$"1>H2LviU%*!#:$"2ti&eqNM)f"!#;7$$"1o;H#GDsY*!#:$"2b+x4ET1f"!#;7$$"1n"H2y?k^*!#:$"2#oqjAebc:!#;7$$"1nm;zihl&*!#:$"2_R;`.@")\"!#;7$$"1*\7.F!o='*!#:$"2'*y)>')R,49!#;7$$"1L$e9EW<n*!#:$"2[G$f=*pYH"!#;7$$"1mTg_#3[s*!#:$"1Tkg[@Zd6!#:7$$"-vVA(yx*!#6$"2o*[#)z1F+5!#;7$$"1Me*[BO4$)*!#:$"1'p%y?5<j#)!#;7$$"1o;/E-+%))*!#:$"0C'e!30>R'!#:7$$"1,v=<U1P**!#:$"2n2!3'4irU%!#<7$$"1LLL3#G,***!#:$"2Vg/T0#z3C!#<7$$"2K3x"yY_/5!#:$"28e)y3.!)*)H!#=7$$"2K$3_Nl.55!#:$!2K"HXhavz<!#<7$$"2KekGR[b,"!#:$!1WTZ64b$y$!#;7$$"2LL3-Dg5-"!#:$!1v)=(Qv!4n&!#;7$$"2L3_v5sl-"!#:$!1vx"ecjOS(!#;7$$"2M$e*['R3K5!#:$!1#o!f2N(y%*)!#;7$$"2MeRA#efP5!#:$!1isPXsXF5!#:7$$"2ML$ezw5V5!#:$!21-GfkSg8"!#;7$$"2-+Dc&Qq_5!#:$!1O*\I=IGE"!#:7$$"2nmm;.+B1"!#:$!1"o!*HausI"!#:7$$"2LL3x?'*=2"!#:$!1Wk%)pY#4F"!#:7$$"-v$Q#\"3"!#5$!1cj,or*4;"!#:7$$"2M$3x;l&=4"!#:$!1[%*3>E7P(*!#;7$$"2nm"z\1A-6!#:$!0L1r/h,N(!#:7$$"/D"Gy%e76!#7$!1`$>s@:Co%!#;7$$"2NLLe"*[H7"!#:$!2doM/2%)f(>!#<7$$"2,+v$zglL6!#:$"2D2qUw3e='!#=7$$"2om;HCjV9"!#:$"2OnUr!yE)z#!#<7$$"2MLekSq]:"!#:$"1R=qxJ!)3W!#;7$$"*dxd;"!"($"1:DJF%eqO&!#;7$$"0DcwG'Ro6!#8$"1s2$\76(*\&!#;7$$"2-]7`+:5<"!#:$"1mBN-F:$f&!#;7$$"2-voHsLO<"!#:$"12UK4?A[c!#;7$$"2-+D1W_i<"!#:$"1yBB;_+mc!#;7$$"2-D"Ge6()y6!#:$"1DTS._#yk&!#;7$$"2,]Pf()*["="!#:$"1H)G=ZH_f&!#;7$$"2,v$f$f3T="!#:$"1<zkgm(*4b!#;7$$"2,+]7JFn="!#:$"1f!z`w@SR&!#;7$$"2,+v==-s>"!#:$"1XpKp$H#oY!#;7$$",D0xw?"!"*$"2EE5&=&Qpk$!#<7$$".vV+ZzA"!#6$"2z1r&y_].:!#<7$$"2,+]i&p@[7!#:$"2jtFu'))429!#=7$$"1DJ&pCI5D"!#9$"1aSp!p%)eE'!#=7$$"0Dcw`VQD"!#8$"1=BK'*eVf:!#=7$$"1v$f$Golc7!#9$"125')G\i9y!#B7$$"/D1>,Zf7!#7$"1md\:x%Qg"!#=7$$"2-vo/q'4l7!#:$"2Lqr$e+C?9!#=7$$".v=GB2F"!#6$"1X<$GH.P)Q!#<7$$"/voWk(>G"!#7$"2l#ygOyx'>"!#<7$$",vgHKH"!"*$"2wep;!o*oI#!#<7$$"2LL$3UDX88!#:$"1239A@sLW!#;7$$"2lmmmZvOL"!#:$"1XN@c\fOc!#;7$$"/D19XPO8!#7$"13GLO=![m&!#;7$$"2KLe9bt!R8!#:$"1,!Q'*Q">bc!#;7$$"2k;a))es<M"!#:$"1/!4^5dig&!#;7$$"2)***\iirWM"!#:$"19cUanv;b!#;7$$"2nmT5qp)\8!#:$"1.?UlY[7_!#;7$$"2LLLexn_N"!#:$"1O'HqVe"QZ!#;7$$"2om;a#R1m8!#:$"22Mf!**p!oG$!#<7$$"2,++]2goP"!#:$"2>D$Ga)GqA"!#<7$$"2L$e9"*Hk'Q"!#:$!26A<<]>"\5!#<7$$"2nm"H2fU'R"!#:$!2MB&ocw@gN!#<7$$"/vVB)3iS"!#7$!1XHzR")GBh!#;7$$"2KL$eR<*fT"!#:$!1(ys&*>2t`)!#;7$$"/v$40(oE9!#7$!2;>\cPEn2"!#;7$$"2nm"HiBQP9!#:$!2-g@%*4*\L7!#;7$$"2,voz,IFW"!#:$!20PxgcA2G"!#;7$$"2N$ektw2[9!#:$!2$yJmM3f/8!#;7$$"1vV[,:v]9!#9$!2#))=g)>HtI"!#;7$$"2p"HKH`U`9!#:$!2')fa(>!pPI"!#;7$$"2'e9;d"*4c9!#:$!2BbF56FQH"!#;7$$"2-++])Hxe9!#:$!1^;++cXx7!#:7$$"2o;z%Rk$)o9!#:$!2898P'yUe6!#;7$$"2LLeR*)**)y9!#:$!1n/E**>-F&*!#;7$$"2n"z>@;$R["!#:$!1NdX_qK0#)!#;7$$"/vV[L'*)["!#7$!1"yn6aaPr'!#;7$$"2M3xc2&*R\"!#:$!1mY1_n8w]!#;7$$"2mm;H!o-*\"!#:$!2k@"p]-c>L!#<7$$"2LL3xS'G/:!#:$!1c@_VOm)Q"!#;7$$"2*****\7ga4:!#:$"2%e'G+)*H-.'!#=7$$"2mm"H<c![^"!#:$"1VN.W*>rh#!#;7$$"2ML$3A_1?:!#:$"1a;&oGxUh%!#;7$$"2,+vo#[KD:!#:$"1<F79W.bl!#;7$$"2omm;V%eI:!#:$"1k"R$4")o+%)!#;7$$"2MLek.We`"!#:$"2t(oF&*[T65!#;7$$"2,+]7k.6a"!#:$"2wp?3fwg;"!#;7$$"2o;a84)Q^:!#:$"2nt"Q#[n'39!#;7$$"2MLe9as;c"!#:$"1&=en%p$pb"!#:7$$"1vV)RlVUc"!#9$"1RC7I?tx:!#:7$$"2nT5lw9oc"!#:$"1/*[Ylk<f"!#:7$$"2$ek.zeQp:!#:$"2L4d#fc'*)f"!#;7$$"/Dc"*p&>d"!#7$"1N2ZW&*H*f"!#:7$$"2Le9m@*4x:!#:$"2E)QWMKRz:!#;7$$"2mmm;WTAe"!#:$"2))=ZknPC`"!#;7$$"2)*\7yI3If"!#:$"2(Q'f+%>@^8!#;7$$"1L$eR<vPg"!#9$"233g*eudr5!#;7$$"0DJqge"4;!#8$"1*4aV4g,-*!#;7$$"2l;/,/UXh"!#:$"14Q(o2mH<(!#;7$$"2K3xJZD*>;!#:$"1@Ef-n;8_!#;7$$"-D1*3`i"!#5$"2;<%)[*)3==$!#<7$$"2nTN@z$\I;!#:$"2.tn'G64(>"!#<7$$"1L3-y'ycj"!#9$!1,6U!3f2x(!#<7$$"0D1Rcj3k"!#8$!2ukt*Hcb.F!#<7$$"2nm"z\%[gk"!#:$!1F[SdOnYX!#;7$$"2N3xcLL7l"!#:$!0fCMsiHF'!#:7$$"2.]i:A=kl"!#:$!1i6>,A&=&y!#;7$$"2n"zW2Jgh;!#:$!1bzwvoGc#*!#;7$$"2NLLL*zym;!#:$!0PJ-8Ej/"!#97$$"2NL3Fe#Rx;!#:$!2(4OypkWC7!#;7$$"2OL$3sr*zo"!#:$!16%H`<FLI"!#:7$$"2M3F%>$[1p"!#:$!0%\^!Q%G28!#97$$"2O$3xm%*H$p"!#:$!/KU_B/08!#87$$"2Pe9Th]fp"!#:$!2&*4l\D8nH"!#;7$$"2OLe9w,')p"!#:$!2i<&fa;W#G"!#;7$$"2O$e9cS!Rq"!#:$!1JB-5S!oB"!#:7$$"2OLL3N1#4<!#:$!1*>Lm.&))p6!#:7$$"1nT&)GJs><!#9$!1`G[IX6J)*!#;7$$"2-+vo!*R-t"!#:$!/xeX&)=Cu!#97$$"2O$e*[oc2u"!#:$!2'z**>yB*4s%!#<7$$"1nm"HYt7v"!#9$!2A37vDZW(>!#<7$$"/vo*GP4w"!#7$"1'eQGAhN#Q!#<7$$"2PLek6,1x"!#:$"2nN,g8$R:C!#<7$$"1n"HK%\E!y"!#9$"1bBP+2./S!#;7$$"2-+++xG**y"!#:$"06f]voP2&!#:7$$"2O$3-)omaz"!#:$"0iQ,')=9W&!#:7$$"1n;/1Y+,=!#9$"1oYLE5mKc!#;7$$"2P3_]ctP!=!#:$"1'H:IvjWm&!#;7$$"2/]iS_Ul!=!#:$"1ivD8Kebc!#;7$$"1<H2$[6$4=!#9$"1\wq&)ox2c!#;7$$"2QL$3U/37=!#:$"1r!H2YqI_&!#;7$$"20+D"yi:B=!#:$"2&eL'H9DS'[!#<7$$"1nm;9@BM=!#9$"1$R\=[&)>$Q!#;7$$"2.+]P$[/a=!#:$"0:E!**)*[><!#:7$$"2OLLLbdQ(=!#:$"1'>!*ez)fIC!#<7$$"1Dcw9")\w=!#9$"27U%zy*>&>9!#=7$$"1<z>w'Q"z=!#9$"1YrO$[CDu'!#=7$$"2(3-jP#z<)=!#:$"28ldg'3k:?!#>7$$"2-]i!*z>W)=!#:$"1^EcyhITd!#?7$$"2<z%\g.1()=!#:$"1ti)H-[e&))!#>7$$"2N3F>#4q*)=!#:$"1nn%p!Hl#\%!#=7$$"2`PfL[TB*=!#:$"1o?3y?f%3"!#<7$$"2om"zW?)\*=!#:$"1->fdJx))>!#<7$$"2M$3_!HWb!>!#:$"1`fi=p:%4)!#<7$$"-DOl5;>!#5$"2(fjZACQV<!#<7$$"*PDj$>!"($"2uG&3r+"))*Q!#<7$$"2-+]P?Wl&>!#:$"1ob.e]yra!#;7$$"2bi:5>g#f>!#:$"1sYA1@Frb!#;7$$"2.D"Gyh(>'>!#:$"1jVjrmGOc!#;7$$"2_(oal@pk>!#:$"12Mh;()zkc!#;7$$"/D"G:3u'>!#7$"1o.*[w<]l&!#;7$$"2-vVt7SG(>!#:$"1$4))3p5Z^&!#;7$$"2.+v=5s#y>!#:$"1"oE*z-U1_!#;7$$"/v$40O"*)>!#7$"28b@0J6R2%!#<7$$"$+#!""$"2`:.,N*z$G#!#<-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'CURVESG6$7bp7$$""!!""$""!!""7$$"2mmmmT:(z@!#<$"2X;CXKA.u"!#<7$$"1LLLL3VfV!#;$"1nM]IP**fM!#;7$$",Dc*)fD'!#6$"1P**=$fvN#\!#;7$$"1nmm"H[D:)!#;$"17&**)ph"HM'!#;7$$"2LLL$e0$=C"!#;$"1y*H))[x%3$*!#;7$$"2OLL$3RBr;!#;$"2XS"QInt'="!#;7$$"2mmm"zjf)4#!#;$"2\<M$)4=tQ"!#;7$$"2MLLe4;[\#!#;$"2XxA8hiq^"!#;7$$"1nm;zt%**p#!#:$"103`_"[6c"!#:7$$",Dmy]!H!#5$"119[e_#))e"!#:7$$"2OLLe>_6,$!#;$"2)\pZj#)f'f"!#;7$$"1nm;HdA<J!#:$"2@sn?D"))*f"!#;7$$"2.++DE*HBK!#;$"2C9/<*\m)f"!#;7$$"2PLLezs$HL!#;$"2-U,G!H&Hf"!#;7$$"2nmmT]R3a$!#;$"2jB6b6E#o:!#;7$$",D@1Bv$!#5$"1x>[0O)f_"!#:7$$"1MLe9d#)pR!#:$"1Us"4ZbZY"!#:7$$"1nmm;_M(=%!#:$"2)H@gz#=iQ"!#;7$$"1MLL3y_qX!#:$"2fs\&>vq37!#;7$$"20+++l+>+&!#;$"1N#oYVoLc*!#;7$$")FZ=_!"($"1Oa5T&R57)!#;7$$"*vW]V&!")$"0`xJYxNe'!#:7$$"*0_Pk&!")$"1/\(*))4wG]!#;7$$"*NfC&e!")$"1B^.sDB>M!#;7$$"1nm"Hd&)>/'!#:$"2GTGP#Q#\#>!#<7$$"1ML$ez6:B'!#:$"1[sl-5ULT!#<7$$"-D1o(oX'!#6$!2[mfn'fy(Q"!#<7$$"1nmm;=C#o'!#:$!2x*)[6Z68<$!#<7$$"1ommTb:to!#:$!2b)3"Qw4;l%!#<7$$"1nmmm#pS1(!#:$!1`ir/Zb*3'!#;7$$",DOD#3v!#5$!0OILz)*))>*!#:7$$"1mmmm(y8!z!#:$!22^!*3_iy:"!#;7$$"1,+]i.tK$)!#:$!2#[zvQPNn8!#;7$$",v3zMu)!#5$!2i.&z?113:!#;7$$"1NLe*olx&*)!#:$!21p[quxlb"!#;7$$"1omm"H_?<*!#:$!2m3Nd$HC(e"!#;7$$"1n;a)GV/F*!#:$!2k"\HD&Q_f"!#;7$$"1omT&GM)o$*!#:$!2')**[=5u$*f"!#;7$$"1o;H#GDsY*!#:$!2Nb0&e'R'*f"!#;7$$"1nm;zihl&*!#:$!1^Zp_X.'f"!#:7$$"-vVA(yx*!#6$!2(RE([eH^d"!#;7$$"1LLL3#G,***!#:$!0*=tV.]O:!#97$$"2LL3-Dg5-"!#:$!2eZ:Uow!y9!#;7$$"2ML$ezw5V5!#:$!2nDN9G4<S"!#;7$$"-v$Q#\"3"!#5$!2<8Jd=6)G7!#;7$$"2NLLe"*[H7"!#:$!1utFj'3i"**!#;7$$"2om;HCjV9"!#:$!1)HEosIv^)!#;7$$"*dxd;"!"($!1VV6<#)H@q!#;7$$"2,+]7JFn="!#:$!1v(>R5#eza!#;7$$",D0xw?"!"*$!2B#*RJP(zxQ!#<7$$".vV+ZzA"!#6$!1x4dz3M(G#!#;7$$"2,+]i&p@[7!#:$!1Pg([U%4Mn!#<7$$".v=GB2F"!#6$"1:o,'>mf7"!#;7$$",vgHKH"!"*$"2/4v8N)46H!#<7$$"2LL$3UDX88!#:$"1$4^k@^V[%!#;7$$"2lmmmZvOL"!#:$"1n'\6L%z6g!#;7$$"2,++]2goP"!#:$"1b!Hx$))**[!*!#;7$$"2KL$eR<*fT"!#:$"22y]k(p;W6!#;7$$"2-++])Hxe9!#:$"2E1vw(*3bN"!#;7$$"2mm;H!o-*\"!#:$"2N6^)\M3)\"!#;7$$"2ML$3A_1?:!#:$"2`7AW\-)[:!#;7$$"2,+]7k.6a"!#:$"1uc!HD*R#e"!#:7$$"2o;a84)Q^:!#:$"2KAm!=BZ#f"!#;7$$"2MLe9as;c"!#:$"2$y1`>aL)f"!#;7$$"/Dc"*p&>d"!#7$"26c@s0t**f"!#;7$$"2mmm;WTAe"!#:$"2.0t<!4Q(f"!#;7$$"2)*\7yI3If"!#:$"165:'pU,f"!#:7$$"1L$eR<vPg"!#9$"2d\[\:(Hy:!#;7$$"2l;/,/UXh"!#:$"2mta)*fy=c"!#;7$$"-D1*3`i"!#5$"1W3d-Y$4a"!#:7$$"2nm"z\%[gk"!#:$"2Q8hkCs!)["!#;7$$"2NLLL*zym;!#:$"22&p'4mA#>9!#;7$$"2OLL3N1#4<!#:$"2e<dy1.>B"!#;7$$"1nm"HYt7v"!#9$"16@gK4$e"**!#;7$$"2PLek6,1x"!#:$"1`!o1)Q(zl)!#;7$$"2-+++xG**y"!#:$"1`2v3LK>t!#;7$$"2QL$3U/37=!#:$"13>fwv&=q&!#;7$$"1nm;9@BM=!#9$"14EBri^9S!#;7$$"2.+]P$[/a=!#:$"1uT"\gFIY#!#;7$$"2OLLLbdQ(=!#:$"14B"QSvQ())!#<7$$"2om"zW?)\*=!#:$!1nsSwE!y,)!#<7$$"-DOl5;>!#5$!2=eSYk6?[#!#<7$$"*PDj$>!"($!1u]ff_akS!#;7$$"2-+]P?Wl&>!#:$!1;#zAYubg&!#;7$$"$+#!""$!1<*HUxPVq)!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7bp7$$""!!""$""!!""7$$"2mmmmT:(z@!#<$!2X;CXKA.u"!#<7$$"1LLLL3VfV!#;$!1nM]IP**fM!#;7$$",Dc*)fD'!#6$!1P**=$fvN#\!#;7$$"1nmm"H[D:)!#;$!17&**)ph"HM'!#;7$$"2LLL$e0$=C"!#;$!1y*H))[x%3$*!#;7$$"2OLL$3RBr;!#;$!2XS"QInt'="!#;7$$"2mmm"zjf)4#!#;$!2\<M$)4=tQ"!#;7$$"2MLLe4;[\#!#;$!2XxA8hiq^"!#;7$$"1nm;zt%**p#!#:$!103`_"[6c"!#:7$$",Dmy]!H!#5$!119[e_#))e"!#:7$$"2OLLe>_6,$!#;$!2)\pZj#)f'f"!#;7$$"1nm;HdA<J!#:$!2@sn?D"))*f"!#;7$$"2.++DE*HBK!#;$!2C9/<*\m)f"!#;7$$"2PLLezs$HL!#;$!2-U,G!H&Hf"!#;7$$"2nmmT]R3a$!#;$!2jB6b6E#o:!#;7$$",D@1Bv$!#5$!1x>[0O)f_"!#:7$$"1MLe9d#)pR!#:$!1Us"4ZbZY"!#:7$$"1nmm;_M(=%!#:$!2)H@gz#=iQ"!#;7$$"1MLL3y_qX!#:$!2fs\&>vq37!#;7$$"20+++l+>+&!#;$!1N#oYVoLc*!#;7$$")FZ=_!"($!1Oa5T&R57)!#;7$$"*vW]V&!")$!0`xJYxNe'!#:7$$"*0_Pk&!")$!1/\(*))4wG]!#;7$$"*NfC&e!")$!1B^.sDB>M!#;7$$"1nm"Hd&)>/'!#:$!2GTGP#Q#\#>!#<7$$"1ML$ez6:B'!#:$!1[sl-5ULT!#<7$$"-D1o(oX'!#6$"2[mfn'fy(Q"!#<7$$"1nmm;=C#o'!#:$"2x*)[6Z68<$!#<7$$"1ommTb:to!#:$"2b)3"Qw4;l%!#<7$$"1nmmm#pS1(!#:$"1`ir/Zb*3'!#;7$$",DOD#3v!#5$"0OILz)*))>*!#:7$$"1mmmm(y8!z!#:$"22^!*3_iy:"!#;7$$"1,+]i.tK$)!#:$"2#[zvQPNn8!#;7$$",v3zMu)!#5$"2i.&z?113:!#;7$$"1NLe*olx&*)!#:$"21p[quxlb"!#;7$$"1omm"H_?<*!#:$"2m3Nd$HC(e"!#;7$$"1n;a)GV/F*!#:$"2k"\HD&Q_f"!#;7$$"1omT&GM)o$*!#:$"2')**[=5u$*f"!#;7$$"1o;H#GDsY*!#:$"2Nb0&e'R'*f"!#;7$$"1nm;zihl&*!#:$"1^Zp_X.'f"!#:7$$"-vVA(yx*!#6$"2(RE([eH^d"!#;7$$"1LLL3#G,***!#:$"0*=tV.]O:!#97$$"2LL3-Dg5-"!#:$"2eZ:Uow!y9!#;7$$"2ML$ezw5V5!#:$"2nDN9G4<S"!#;7$$"-v$Q#\"3"!#5$"2<8Jd=6)G7!#;7$$"2NLLe"*[H7"!#:$"1utFj'3i"**!#;7$$"2om;HCjV9"!#:$"1)HEosIv^)!#;7$$"*dxd;"!"($"1VV6<#)H@q!#;7$$"2,+]7JFn="!#:$"1v(>R5#eza!#;7$$",D0xw?"!"*$"2B#*RJP(zxQ!#<7$$".vV+ZzA"!#6$"1x4dz3M(G#!#;7$$"2,+]i&p@[7!#:$"1Pg([U%4Mn!#<7$$".v=GB2F"!#6$!1:o,'>mf7"!#;7$$",vgHKH"!"*$!2/4v8N)46H!#<7$$"2LL$3UDX88!#:$!1$4^k@^V[%!#;7$$"2lmmmZvOL"!#:$!1n'\6L%z6g!#;7$$"2,++]2goP"!#:$!1b!Hx$))**[!*!#;7$$"2KL$eR<*fT"!#:$!22y]k(p;W6!#;7$$"2-++])Hxe9!#:$!2E1vw(*3bN"!#;7$$"2mm;H!o-*\"!#:$!2N6^)\M3)\"!#;7$$"2ML$3A_1?:!#:$!2`7AW\-)[:!#;7$$"2,+]7k.6a"!#:$!1uc!HD*R#e"!#:7$$"2o;a84)Q^:!#:$!2KAm!=BZ#f"!#;7$$"2MLe9as;c"!#:$!2$y1`>aL)f"!#;7$$"/Dc"*p&>d"!#7$!26c@s0t**f"!#;7$$"2mmm;WTAe"!#:$!2.0t<!4Q(f"!#;7$$"2)*\7yI3If"!#:$!165:'pU,f"!#:7$$"1L$eR<vPg"!#9$!2d\[\:(Hy:!#;7$$"2l;/,/UXh"!#:$!2mta)*fy=c"!#;7$$"-D1*3`i"!#5$!1W3d-Y$4a"!#:7$$"2nm"z\%[gk"!#:$!2Q8hkCs!)["!#;7$$"2NLLL*zym;!#:$!22&p'4mA#>9!#;7$$"2OLL3N1#4<!#:$!2e<dy1.>B"!#;7$$"1nm"HYt7v"!#9$!16@gK4$e"**!#;7$$"2PLek6,1x"!#:$!1`!o1)Q(zl)!#;7$$"2-+++xG**y"!#:$!1`2v3LK>t!#;7$$"2QL$3U/37=!#:$!13>fwv&=q&!#;7$$"1nm;9@BM=!#9$!14EBri^9S!#;7$$"2.+]P$[/a=!#:$!1uT"\gFIY#!#;7$$"2OLLLbdQ(=!#:$!14B"QSvQ())!#<7$$"2om"zW?)\*=!#:$"1nsSwE!y,)!#<7$$"-DOl5;>!#5$"2=eSYk6?[#!#<7$$"*PDj$>!"($"1u]ff_akS!#;7$$"2-+]P?Wl&>!#:$"1;#zAYubg&!#;7$$"$+#!""$"1<*HUxPVq)!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$""!!""$"$+#!"";$!2<tup.sRm"!#;$"2k9!>5\(Rm"!#;-%+AXESLABELSG6'Q"t6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+%!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%+I!""-%.BOUNDS_HEIGHTG6#$"%?D!""-%)CHILDRENG6"

omega:=5/2:plot([sol(t),env(t),-env(t)],t=0..20,color=[black,red,red]);

6*-%'CURVESG6$7\]l7$$""!!""$""!!""7$$"1LLLL3VfV!#;$"28^m[%4&y%H!#<7$$"1mm"z>5xI&!#;$"19$HmYt]#Q!#;7$$",Dc*)fD'!#6$"1U1X`In![%!#;7$$"1m;zW#H,t'!#;$"/dZ38(=o%!#97$$"1LL3F*oU?(!#;$"0&z]MQ]yZ!#:7$$".v$4'3%yw!#8$"1EiS.8:eZ!#;7$$"1nmm"H[D:)!#;$"1b]'faW5h%!#;7$$"-v$pU&G5!#6$"2L1xf"=qyA!#<7$$"2LLL$e0$=C"!#;$!1i=<?O$**R#!#;7$$"2NLLLBKlX"!#;$!1vvK8?nxy!#;7$$"2OLL$3RBr;!#;$!2@my5^(Qs6!#;7$$"1</wiS%zp"!#:$!1J0(fd1q>"!#:7$$"2,](=<UlC<!#;$!2_*[Ph)G_@"!#;7$$"2Ne9;Pk8v"!#;$!1OMJMZwE7!#:7$$"2omTg_u!y<!#;$!2/!3(Q^i8B"!#;7$$"2-vo/o%y/=!#;$!2(>U=y3")G7!#;7$$"2N$e*[$[\J=!#;$!2`8**4.T*=7!#;7$$"1<HK*)\?e=!#:$!2W$[F5'G;?"!#;7$$"2-+]P9:\)=!#;$!2D"G"HK&zw6!#;7$$"2MLe9wb<*>!#;$!1eRVtpO-5!#:7$$"2mmm"zjf)4#!#;$!0,WNkp'Rr!#:7$$"2OLL$38l(>#!#;$!1il%QRicg$!#;7$$",vB1nH#!#5$"2lc>!oJ$[<&!#=7$$"2lmmm;hdR#!#;$"1;U!)*QJu#\!#;7$$"2MLLe4;[\#!#;$"1xGfw!RkF*!#;7$$",vt"Q(f#!#5$"2l%p"y@AEL"!#;7$$"1nm;zt%**p#!#:$"1G"4mvFIl"!#:7$$")-B^F!"($"2L&Q$=!fqq<!#;7$$"2NLL3-8D!G!#;$"2r7%)QjQ_&=!#;7$$"-DJW:GG!#6$"2"4\d*4nT)=!#;7$$"1nmmTez`G!#:$"2B+@Na1Q!>!#;7$$"1LL3_sVzG!#:$"2(o4idx"R">!#;7$$",Dmy]!H!#5$"1=$HUx5V">!#:7$$"2OLLe>_6,$!#;$"2O>3K0d0"=!#;7$$"1nm;HdA<J!#:$"2Hoom/8#R:!#;7$$"2.++DE*HBK!#;$"2N"Q)*zM,;6!#;7$$"2PLLezs$HL!#;$"1=TtfZ_<d!#;7$$"1nm"HZRAQ$!#:$"20ugjHTVo#!#<7$$"*:1^V$!")$!0"fbwlr#z%!#;7$$"2ML$3FG(z[$!#;$!2Y]:^Hcaq$!#<7$$"2nmmT]R3a$!#;$!1^(=U#H[Bp!#;7$$"-D"=1Pf$!#6$!1jF%elMh+"!#:7$$"2KLL$eGdYO!#;$!2aN>M8UZI"!#;7$$"2lm;a`R%*p$!#;$!2TUD(*Q87e"!#;7$$",D@1Bv$!#5$!2c?ADfh*G=!#;7$$"1n;ajf1hQ!#:$!27r"\muJBA!#;7$$"1MLe9d#)pR!#:$!1;e=&=x%GC!#:7$$"2.vVBl:q*R!#;$!2ds;'GZsYC!#;7$$"1nT5!f0U-%!#:$!1**zSaD>^C!#:7$$"2Neky_&R^S!#;$!2`/#***GP<W#!#;7$$".DcY&eyS!#7$!2O,]2<(H=C!#;7$$"1Me9T`'H8%!#:$!1F&>kwG'HB!#:7$$"1nmm;_M(=%!#:$!2&o=5#H]j=#!#;7$$"1MLek39$G%!#:$!2%QK?7+U4=!#;7$$"1,+]7l$*yV!#:$!2f^I,]oVH"!#;7$$"2XLekLMoU%!#;$!1k())zDi@&**!#;7$$"1omTg@tuW!#:$!17D8qY'*[n!#;7$$"1,]P%)*HE_%!#:$!2([*fMuh#*Q$!#<7$$"1MLL3y_qX!#:$"1"o"\6v>Io!#=7$$"1n;a8%\Wi%!#:$"2VLqos3;+%!#<7$$"1,+v=5PyY!#:$"1*=DMsBD*y!#;7$$"1M$eRi#HKZ!#:$"1efLeO?l6!#:7$$"1nm;HU@'y%!#:$"295EOH@$>:!#;7$$".vV$e8S[!#7$"2"oSTfgKV=!#;7$$"1LLeRu0%*[!#:$"0\A]e^&H@!#97$$"1n;zW!zz%\!#:$"1h8^A,8rB!#:7$$"20+++l+>+&!#;$"2P_&fw3;iD!#;7$$"20++DmVg0&!#;$"1eX$fY%H)p#!#:7$$"20++]n'=5^!#;$"2NI,mHX]x#!#;7$$"1,+D"=es8&!#:$"2aGQ+\'R!z#!#;7$$",voHV;&!#5$"1\TYz,<!z#!#:7$$"-v$>,9>&!#6$"1$p>dG2Vx#!#:7$$")FZ=_!"($"10.p'=RGu#!#:7$$"+D(enK&!"*$"2xx-7M+ZY#!#;7$$"*vW]V&!")$"0u*=^t_i>!#97$$"2&*****\d@s[&!#;$"2"\F.q`__;!#;7$$")%)RRb!"($"2)[qX5C`18!#;7$$"+D_d"f&!"*$"0Gk_A<oJ*!#:7$$"*0_Pk&!")$"1f"Hn)ofd`!#;7$$"+v)Gfp&!"*$"2&f&p*)p)Qq7!#<7$$")d5[d!"($!2;42KU.!fG!#<7$$"+DDG+e!"*$!1&*HuS^bVp!#;7$$"*NfC&e!")$!2wb#Hi7p*3"!#;7$$"1n"Hd!4%)**e!#:$!2YeM>=#GI9!#;7$$"1M$e9YAs%f!#:$!2XM!R&Hqru"!#;7$$"/v=<Sg%*f!#8$!2WgSzU$zM?!#;7$$"1nm"Hd&)>/'!#:$!2G;I%Rf4)G#!#;7$$".vVo[n8'!#7$!2%z+#=g(euE!#;7$$"1ML$ez6:B'!#:$!1)*>`S$G&zG!#:7$$"1<a8ACofi!#:$!1%**30nmH!H!#:7$$"/vV[I&yG'!#8$!1&HUfE\)3H!#:7$$"1U&)eh$Q>I'!#:$!2d$Rv!R">0H!#;7$$"1%eRZnBgJ'!#:$!2<zmLRRr*G!#;7$$"1D1*y)*3,L'!#:$!0%Qm[eq%)G!#97$$"1n;/,V>Wj!#:$!1Rp`t,"z'G!#:7$$"1Mek`b`+k!#:$!22['zA>tdF!#;7$$"-D1o(oX'!#6$!2V+q4>h5e#!#;7$$"1nT&)e!=K^'!#:$!2npEU)**HUB!#;7$$"1M$e9Jf&pl!#:$!2N`)R>FRZ?!#;7$$"/D1k0!fi'!#8$!1sf:YQn.<!#:7$$"1nmm;=C#o'!#:$!2rI_\,!o>8!#;7$$"2lm;zCq*Hn!#;$!1Y(\'*3H#*p*!#;7$$"1nm;z')pxn!#:$!1lp3=l(H/'!#;7$$"1nmT5rUDo!#:$!2K!)HmBrGH#!#<7$$"1ommTb:to!#:$"22l'4b7w%["!#<7$$"1om"H(R)3#p!#:$"1F%>D&zIB_!#;7$$"2vmmTS7'op!#;$"1@['**\zq&))!#;7$$"1nmTN3M;q!#:$"2d!p8o+DK7!#;7$$"1nmmm#pS1(!#:$"2Gumr!e#fb"!#;7$$"1Meky()e>r!#:$"2(*[@Jvqi*=!#;7$$".D1H3^<(!#7$"2a\8*)*fB!>#!#;7$$"1mTg-yiIs!#:$"06(Qi45JC!#97$$"1LLe9t9'G(!#:$"1eTp0,Z8E!#:7$$"/DcEomTt!#8$"1=HsByRLF!#:7$$"1n;aQj=(R(!#:$"1by<akZ)y#!#:7$$"1^7`%4Y\U(!#:$"2%yV&)*Ry8z#!#;7$$"1M3_]eq_u!#:$"2$oi1"Q&)yx#!#;7$$"1=/^1cY![(!#:$"2;SK4IW"[F!#;7$$",DOD#3v!#5$"2%HKz4-S-F!#;7$$"1m;a8P^1w!#:$"28"Hc7ot<C!#;7$$"1LLek?![q(!#:$"1)Rb$Q9-i>!#:7$$"1nT5Si%Rv(!#:$"2B<"[H_1"o"!#;7$$".DcT!4.y!#7$"2j^tVk=>P"!#;7$$"1Me9"fMA&y!#:$"2F(*\:sC1/"!#;7$$"1mmmm(y8!z!#:$"1J?id;#f$p!#;7$$"1Me9;xHbz!#:$"1Fh_SWMEI!#;7$$".Dcm;#4!)!#7$!1)H5"HCjM!*!#<7$$"1oT5:c8j!)!#:$!1P[0T=&[w%!#;7$$"1MLekX0<")!#:$!1EA-s9xr%)!#;7$$"1,D19N(4<)!#:$!2L*p6n]F%>"!#;7$$"1o;ajC*[A)!#:$!2bn52du-^"!#;7$$"1N3-89")y#)!#:$!1@$>Bs"[)y"!#:7$$"1,+]i.tK$)!#:$!1$p&yb&fJ-#!#:7$$"-vVvTN%)!#6$!11FqDS*QL#!#:7$$"+DZ5Q&)!"*$!1C$o>Nn1X#!#:7$$"1,+D1>zS')!#:$!0&\n\S$*pB!#97$$",v3zMu)!#5$!2mUv<WmX5#!#;7$$"1M3-Q20(z)!#:$!1l9[d%o:!>!#:7$$"1o;a)QA1&))!#:$!1)R4,y(*4m"!#:7$$"1,D1RS>/*)!#:$!2dP-E8]*)Q"!#;7$$"1NLe*olx&*)!#:$!2&Gd"z`H@4"!#;7$$"1oT5StL6!*!#:$!1l=e:/"ox(!#;7$$"1-]i!**3\1*!#:$!2kUR//c,`%!#<7$$"1Ne9T1[="*!#:$!2We&)R9:jD"!#<7$$"1omm"H_?<*!#:$"2C!*Q"\Hjq>!#<7$$"1n;a)GV/F*!#:$"0#>9$Ry+a(!#:7$$"1omT&GM)o$*!#:$"2)4akI#R8B"!#;7$$"1o;H#GDsY*!#:$"28@yiIKof"!#;7$$"1nm;zihl&*!#:$"1,%**f\c#G=!#:7$$"1#eRZF[@f*!#:$"2dubUWBg'=!#;7$$"1*\7.F!o='*!#:$"2vW@l\<J*=!#;7$$"1;a)eE7_k*!#:$"2,"*pa&\`4>!#;7$$"1L$e9EW<n*!#:$"2'H;<kRL:>!#;7$$"0DJqDw#)p*!#9$"2l\"*\UL1">!#;7$$"1mTg_#3[s*!#:$"1/3Ci:h&*=!#:7$$"1$3x"[-M^(*!#:$"2km&pST]q=!#;7$$"-vVA(yx*!#6$"2&\T8aBgN=!#;7$$"1o;/E-+%))*!#:$"2)=Ds*\rcg"!#;7$$"1LLL3#G,***!#:$"2'4E7hw%[D"!#;7$$"2K$3_Nl.55!#:$"13T]&)e@R!)!#;7$$"2LL3-Dg5-"!#:$"2PBv"z%pR8$!#<7$$"2M$e*['R3K5!#:$!2')3$**eu$*o;!#<7$$"2ML$ezw5V5!#:$!1vMj"zGc"f!#;7$$"2nmm;.+B1"!#:$!1Q\,`q7'4"!#:7$$"-v$Q#\"3"!#5$!2'>E/3(*yE7!#;7$$"2nm"z\1A-6!#:$!1RcM3<z&y*!#;7$$"2NLLe"*[H7"!#:$!2`18,-7R'[!#<7$$"2om;HCjV9"!#:$"20+J93cXN%!#=7$$"*dxd;"!"($"1T)G&*o;z#R!#;7$$"2-]7`+:5<"!#:$"0-**Q9!ewV!#:7$$"2-+D1W_i<"!#:$"1m//KpVeY!#;7$$"2,]Pf()*["="!#:$"2.?oD^o!zZ!#<7$$"2,+]7JFn="!#:$"2NrYRuB)[Z!#<7$$"2,+v==-s>"!#:$"1Q$H#[U#zH%!#;7$$",D0xw?"!"*$"2/[b.8%ziM!#<7$$".vV+ZzA"!#6$"2B-v%4VTz9!#<7$$"2,+]i&p@[7!#:$"22:t=ZA_S"!#=7$$"0Dcw`VQD"!#8$"2e7f(Rw?f:!#>7$$"/D1>,Zf7!#7$"2%3$zVE1Og"!#>7$$"2_il(4MGi7!#:$"1Yq[cxW]j!#=7$$"2-vo/q'4l7!#:$"23u8eDG$=9!#=7$$"2^(=<"**4zE"!#:$"2E4op"Rt+D!#=7$$".v=GB2F"!#6$"1$*)3;AE"pQ!#<7$$"/voWk(>G"!#7$"2u5c$e]%>="!#<7$$",vgHKH"!"*$"2Bx)Qt*e_C#!#<7$$"2lm"zu5M.8!#:$"2:`3m7n3D$!#<7$$"2LL$3UDX88!#:$"1shoH2,=T!#;7$$"2n;HdF3&=8!#:$"29WE<p*fVW!#<7$$".v$4ScB8!#6$"20&QCh$4'pY!#<7$$"2L$3-V(>'G8!#:$"12iy)=))zx%!#;7$$"2lmmmZvOL"!#:$"2$=4=I;b`Z!#<7$$"2LLLexn_N"!#:$"20)*=+"*4_&H!#<7$$"2,++]2goP"!#:$!2(Hc(f%zq59!#<7$$"2nm"H2fU'R"!#:$!0R"y2FqOk!#:7$$"2KL$eR<*fT"!#:$!1,(z=$oen5!#:7$$"2mTg_RR8U"!#:$!2[Y-O%o"[9"!#;7$$"/v$40(oE9!#7$!2\H^l$=.*>"!#;7$$"2;/w(y3OH9!#:$!27#Qd+8k;7!#;7$$"2Me9mqM?V"!#:$!2sm$ypT_F7!#;7$$"2^7`W`3ZV"!#:$!2At$z.=VJ7!#;7$$"2nm"HiBQP9!#:$!2#Q*\^Jc"G7!#;7$$"2N$ektw2[9!#:$!20D<*y[gS6!#;7$$"2-++])Hxe9!#:$!1,AXnC9L$*!#;7$$"2o;z%Rk$)o9!#:$!1m')*>ag<P'!#;7$$"2LLeR*)**)y9!#:$!2x3!f>rm5E!#<7$$"/vV[L'*)["!#7$"1%*=Ve:Z&o"!#;7$$"2mm;H!o-*\"!#:$"1>d-q@x%='!#;7$$"2*****\7ga4:!#:$"20u@f[X+2"!#;7$$"2ML$3A_1?:!#:$"2;Fn_sQ&f9!#;7$$"2omm;V%eI:!#:$"2&\&)=s5aY<!#;7$$"2,+]7k.6a"!#:$"2:OXSc%*y*=!#;7$$"2M3-j'eCY:!#:$"2(*)*Hw7*G:>!#;7$$"2o;a84)Q^:!#:$"2Q)Q6`[E$*=!#;7$$"0D1kJIlb"!#8$"2<hmu&**=J=!#;7$$"2MLe9as;c"!#:$"2MT]Fw-$H<!#;7$$"/Dc"*p&>d"!#7$"1NgN3PY69!#:7$$"2mmm;WTAe"!#:$"1`h2ku9"f*!#;7$$"2JeRZ([i(e"!#:$"1c,"H@#G!z'!#;7$$"2)*\7yI3If"!#:$"2/@#)*[!=bw$!#<7$$"2lT&)3u"R)f"!#:$"1ZZ!Qx&f=e!#<7$$"1L$eR<vPg"!#9$!2'[;%3&=X!p#!#<7$$"0DJqge"4;!#8$!1&*fAk!Qv(f!#;7$$"2l;/,/UXh"!#:$!1f*zbp-O?*!#;7$$"2K3xJZD*>;!#:$!2"\)[ous#H7!#;7$$"-D1*3`i"!#5$!2"*zX&e-2<:!#;7$$"1L3-y'ycj"!#9$!2C"fXerI')>!#;7$$"2nm"z\%[gk"!#:$!1$oPRXGsI#!#:7$$"2N3xcLL7l"!#:$!2GkK^T$G,C!#;7$$"2.]i:A=kl"!#:$!173P)>_qW#!#:7$$"2&3_]k1,f;!#:$!0Y')oCL7X#!#97$$"2n"zW2Jgh;!#:$!2/eB#e"eFW#!#;7$$"2`i!R]b>k;!#:$!2&\:i*\q:U#!#;7$$"2NLLL*zym;!#:$!2#or,j?o(Q#!#;7$$"2NL3Fe#Rx;!#:$!2L`eU0T'>@!#;7$$"2OL$3sr*zo"!#:$!2dhP=I<#f;!#;7$$"2O$3xm%*H$p"!#:$!2_'fk!y>sO"!#;7$$"2OLe9w,')p"!#:$!2mGaH+&eT5!#;7$$"2O$e9cS!Rq"!#:$!18yCh$40*o!#;7$$"2OLL3N1#4<!#:$!2b!4:cEXqJ!#<7$$"2.vV)RZY9<!#:$"1[LEVRdFj!#<7$$"1nT&)GJs><!#9$"2X7Wzm/#oW!#<7$$"2Oeky^")\s"!#:$"1.+q-RB`#)!#;7$$"2-+vo!*R-t"!#:$"1A"G*4(R0>"!#:7$$"1<a)eH)\N<!#9$"2:,HH<IW`"!#;7$$"2O$e*[oc2u"!#:$"2[&)\n$HM\=!#;7$$"2-D1R2:gu"!#:$"1kyIl#)=G@!#:7$$"1nm"HYt7v"!#9$"2da=T)>gkB!#;7$$"/vo*GP4w"!#7$"2WEb(f">3n#!#;7$$"2PLek6,1x"!#:$"21p0M<.5z#!#;7$$"1n"HK%\E!y"!#9$"2VgWwn)o8F!#;7$$"2-+++xG**y"!#:$"1eHi>_$=W#!#:7$$"2O$3-)omaz"!#:$"1EDP4/]/A!#:7$$"1n;/1Y+,=!#9$"2[*yXo9,9>!#;7$$"2/]iS_Ul!=!#:$"2pC_H6qpd"!#;7$$"2QL$3U/37=!#:$"0[=+AU6?"!#97$$"1nT5g$=w"=!#9$"1/bHY(HF&z!#;7$$"20+D"yi:B=!#:$"2x&pdtuw)o$!#<7$$"1Me9'>%pG=!#9$!1Yle(z4$*z'!#<7$$"1nm;9@BM=!#9$!1$)*4eO())\]!#;7$$"/D1%H&=R=!#7$!1kNzE*QX())!#;7$$"2MLeRZQT%=!#:$!2z<T"GqSa7!#;7$$"1nT&Ql"4\=!#9$!1%\aydH))f"!#:7$$"2.+]P$[/a=!#:$!2E@(>&>@T">!#;7$$"1n;a$>^R'=!#9$!2Pu9'yCxLC!#;7$$"2OLLLbdQ(=!#:$!1(4l4G)etF!#:7$$"1<z>w'Q"z=!#9$!2EjraPY;(G!#;7$$"2-]i!*z>W)=!#:$!1D8mBDx3H!#:7$$"2<z%\g.1()=!#:$!1x`.4!zT!H!#:7$$"2N3F>#4q*)=!#:$!1t*fG5`T)G!#:7$$"2`PfL[TB*=!#:$!2O.n"zY!)[G!#;7$$"2om"zW?)\*=!#:$!2d$)o:mF$)z#!#;7$$"2M$3_!HWb!>!#:$!21DCs[z=X#!#;7$$"-DOl5;>!#5$!2lCOej(f**=!#;7$$"/voW7;@>!#7$!2%**RS-5$fd"!#;7$$".DJ&f@E>!#6$!2@W)RriQA7!#;7$$"/Dch1FJ>!#7$!13Z%G=x,Y)!#;7$$"*PDj$>!"($!2vr)zQ-?VX!#<7$$"2-]P%y+QT>!#:$!1"*))4e(\u]&!#<7$$"2/+voyMk%>!#:$"1&=b>Q-"QM!#;7$$"/DJ&\*[^>!#7$"1v#RE`(fWt!#;7$$"2-+]P?Wl&>!#:$"2B3Xp6%>46!#;7$$"2.D"Gyh(>'>!#:$"2sf>B@#z&["!#;7$$"/D"G:3u'>!#7$"2%HHq__5F=!#;7$$"2-vVt7SG(>!#:$"1)*[vNYaD@!#:7$$"2.+v=5s#y>!#:$"1cRB*ybXP#!#:7$$"/v$40O"*)>!#7$"1&pPq#)3Tq#!#:7$$"$+#!""$"2w$p/A\"*)y#!#;-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"1LLLL3VfV!#;$"2OvD#3CAkJ!#<7$$"1nmm"H[D:)!#;$"1pgsi=;))e!#;7$$"2LLL$e0$=C"!#;$"1l_`"p5r)))!#;7$$"2OLL$3RBr;!#;$"2k-)HJ")Q!="!#;7$$"2mmm"zjf)4#!#;$"2Kks)p2>d9!#;7$$"2MLLe4;[\#!#;$"2(4!HsIU!*p"!#;7$$",Dmy]!H!#5$"2E%f8pV)=$>!#;7$$"2PLLezs$HL!#;$"00r%*)QI^@!#97$$",D@1Bv$!#5$"1y&*fOa&fM#!#:7$$"1nmm;_M(=%!#:$"1Q0f95#)=D!#:7$$"1MLL3y_qX!#:$"2Xg*GLc[YE!#;7$$"20+++l+>+&!#;$"2ZQ+Y3=6w#!#;7$$"*vW]V&!")$"2CyMXySR%G!#;7$$"*NfC&e!")$"1:">WITA*G!#:7$$"1ML$ez6:B'!#:$"2$fiRr"[)3H!#;7$$"1nmm;=C#o'!#:$"2a8$Q%*fi%*G!#;7$$"1nmmm#pS1(!#:$"228E'=A$Q&G!#;7$$",DOD#3v!#5$"2aA)*GdCPx#!#;7$$"1mmmm(y8!z!#:$"2jMLg$)pUn#!#;7$$"1,+]i.tK$)!#:$"2t<*[Iq\ND!#;7$$",v3zMu)!#5$"1oVrI\%fP#!#:7$$"1omm"H_?<*!#:$"20%*eul8G=#!#;7$$"1nm;zihl&*!#:$"1G@u%\]L)>!#:7$$"1LLL3#G,***!#:$"2PXFVOcnu"!#;7$$"2ML$ezw5V5!#:$"2JO))\[G-["!#;7$$"-v$Q#\"3"!#5$"2i+rfwlMB"!#;7$$"2NLLe"*[H7"!#:$"1zhH+;xU&*!#;7$$"*dxd;"!"($"1U[oaZG^l!#;7$$",D0xw?"!"*$"2kZS>eV=b$!#<7$$"2,+]i&p@[7!#:$"1J%fCigK7'!#<7$$",vgHKH"!"*$!02IYmlvl#!#:7$$"2lmmmZvOL"!#:$!1eVk&R?#ob!#;7$$"2,++]2goP"!#:$!1k1&G*[W7')!#;7$$"2KL$eR<*fT"!#:$!2;#3p<"H&G6!#;7$$"2-++])Hxe9!#:$!2E(3t&)[I39!#;7$$"2mm;H!o-*\"!#:$!2(4DLo6"pl"!#;7$$"2,+]7k.6a"!#:$!2s^P@w:))*=!#;7$$"2mmm;WTAe"!#:$!2b*[t$[X]6#!#;7$$"-D1*3`i"!#5$!1l!=')HMuJ#!#:7$$"2NLLL*zym;!#:$!2Zr.$44,([#!#;7$$"2OLL3N1#4<!#:$!2x(G!o5"yKE!#;7$$"1nm"HYt7v"!#9$!1Fy.BY8[F!#:7$$"2-+++xG**y"!#:$!2cq8`[%QFG!#;7$$"1nm;9@BM=!#9$!2&Hn0(\Kd)G!#;7$$"2OLLLbdQ(=!#:$!2/BudGrz!H!#;7$$"-DOl5;>!#5$!2Xul$=PF+H!#;7$$"2-+]P?Wl&>!#:$!0Ab-([iiG!#97$$"$+#!""$!08H**)yf*y#!#9-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"1LLLL3VfV!#;$!2OvD#3CAkJ!#<7$$"1nmm"H[D:)!#;$!1pgsi=;))e!#;7$$"2LLL$e0$=C"!#;$!1l_`"p5r)))!#;7$$"2OLL$3RBr;!#;$!2k-)HJ")Q!="!#;7$$"2mmm"zjf)4#!#;$!2Kks)p2>d9!#;7$$"2MLLe4;[\#!#;$!2(4!HsIU!*p"!#;7$$",Dmy]!H!#5$!2E%f8pV)=$>!#;7$$"2PLLezs$HL!#;$!00r%*)QI^@!#97$$",D@1Bv$!#5$!1y&*fOa&fM#!#:7$$"1nmm;_M(=%!#:$!1Q0f95#)=D!#:7$$"1MLL3y_qX!#:$!2Xg*GLc[YE!#;7$$"20+++l+>+&!#;$!2ZQ+Y3=6w#!#;7$$"*vW]V&!")$!2CyMXySR%G!#;7$$"*NfC&e!")$!1:">WITA*G!#:7$$"1ML$ez6:B'!#:$!2$fiRr"[)3H!#;7$$"1nmm;=C#o'!#:$!2a8$Q%*fi%*G!#;7$$"1nmmm#pS1(!#:$!228E'=A$Q&G!#;7$$",DOD#3v!#5$!2aA)*GdCPx#!#;7$$"1mmmm(y8!z!#:$!2jMLg$)pUn#!#;7$$"1,+]i.tK$)!#:$!2t<*[Iq\ND!#;7$$",v3zMu)!#5$!1oVrI\%fP#!#:7$$"1omm"H_?<*!#:$!20%*eul8G=#!#;7$$"1nm;zihl&*!#:$!1G@u%\]L)>!#:7$$"1LLL3#G,***!#:$!2PXFVOcnu"!#;7$$"2ML$ezw5V5!#:$!2JO))\[G-["!#;7$$"-v$Q#\"3"!#5$!2i+rfwlMB"!#;7$$"2NLLe"*[H7"!#:$!1zhH+;xU&*!#;7$$"*dxd;"!"($!1U[oaZG^l!#;7$$",D0xw?"!"*$!2kZS>eV=b$!#<7$$"2,+]i&p@[7!#:$!1J%fCigK7'!#<7$$",vgHKH"!"*$"02IYmlvl#!#:7$$"2lmmmZvOL"!#:$"1eVk&R?#ob!#;7$$"2,++]2goP"!#:$"1k1&G*[W7')!#;7$$"2KL$eR<*fT"!#:$"2;#3p<"H&G6!#;7$$"2-++])Hxe9!#:$"2E(3t&)[I39!#;7$$"2mm;H!o-*\"!#:$"2(4DLo6"pl"!#;7$$"2,+]7k.6a"!#:$"2s^P@w:))*=!#;7$$"2mmm;WTAe"!#:$"2b*[t$[X]6#!#;7$$"-D1*3`i"!#5$"1l!=')HMuJ#!#:7$$"2NLLL*zym;!#:$"2Zr.$44,([#!#;7$$"2OLL3N1#4<!#:$"2x(G!o5"yKE!#;7$$"1nm"HYt7v"!#9$"1Fy.BY8[F!#:7$$"2-+++xG**y"!#:$"2cq8`[%QFG!#;7$$"1nm;9@BM=!#9$"2&Hn0(\Kd)G!#;7$$"2OLLLbdQ(=!#:$"2/BudGrz!H!#;7$$"-DOl5;>!#5$"2Xul$=PF+H!#;7$$"2-+]P?Wl&>!#:$"0Ab-([iiG!#97$$"$+#!""$"08H**)yf*y#!#9-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$""!!""$"$+#!"";$!1m!*o9K?DI!#:$"0.V,7-_-$!#9-%+AXESLABELSG6'Q"t6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+$!""-%)BOUNDS_YG6#$"$5"!""-%-BOUNDS_WIDTHG6#$"%+J!""-%.BOUNDS_HEIGHTG6#$"%5C!""-%)CHILDRENG6"

omega:=1.75*sqrt(2):plot([sol(t),env(t),-env(t)],t=0..20,color=[black,red,red]);

6*-%'CURVESG6$7d]l7$$""!!""$""!!""7$$"1LLLL3VfV!#;$"2m^?I-0W&H!#<7$$"1mm"z>5xI&!#;$"1::5-,_QQ!#;7$$",Dc*)fD'!#6$"2m<Bz3MX]%!#<7$$"1m;zW#H,t'!#;$"1#QV3&*GBr%!#;7$$"1LL3F*oU?(!#;$"1d7#[(3X;[!#;7$$".v$4'3%yw!#8$"1TJ0dVS/[!#;7$$"1nmm"H[D:)!#;$"1%*o$z/+jm%!#;7$$"-v$pU&G5!#6$"2m3D&z*=wP#!#<7$$"2LLL$e0$=C"!#;$!2OAx(zwvsA!#<7$$"2MLLeR"=\8!#;$!1^N%y'>@f]!#;7$$"2NLLLBKlX"!#;$!0@]zGH4x(!#:7$$"2OLL32$)Qc"!#;$!2bF2Gy/!45!#;7$$"2OLL$3RBr;!#;$!2)=x@#Qb5<"!#;7$$"1</wiS%zp"!#:$!1=")QcMO(>"!#:7$$"2,](=<UlC<!#;$!2cIVO&)zt@"!#;7$$"2Ne9;Pk8v"!#;$!2w&))HE(33B"!#;7$$"2omTg_u!y<!#;$!1EW)4:"RP7!#:7$$"2-vo/o%y/=!#;$!2:7^[a2pB"!#;7$$"2N$e*[$[\J=!#;$!2w6!R\)z"H7!#;7$$"1<HK*)\?e=!#:$!2u2kWYtS@"!#;7$$"2-+]P9:\)=!#;$!294$o;*)\">"!#;7$$"2MLe9wb<*>!#;$!1vGm_&yj-"!#:7$$"2mmm"zjf)4#!#;$!1A*pP=e-Z(!#;7$$"2OLL$38l(>#!#;$!11TwVRy3S!#;7$$",vB1nH#!#5$"/%=&zHYfh!#;7$$"2lmmm;hdR#!#;$"2:)Hc=vpYW!#<7$$"2MLLe4;[\#!#;$"1i`iOPh0))!#;7$$",vt"Q(f#!#5$"2Y*yT"4C2H"!#;7$$"1nm;zt%**p#!#:$"2kHO$*)Gt?;!#;7$$"2NLL3-8D!G!#;$"1%GXFzln$=!#:7$$",Dmy]!H!#5$"1ub*GjaK">!#:7$$"2OLLe>_6,$!#;$"208$Q6T=I=!#;7$$"1nm;HdA<J!#:$"2A5+6h!p!e"!#;7$$"2.++DE*HBK!#;$"2`@7a.M'y6!#;7$$"2PLLezs$HL!#;$"19NO8erFl!#;7$$"1nm"HZRAQ$!#:$"21%f*z[\'pN!#<7$$"*:1^V$!")$"0uZ0UE&pY!#;7$$"2ML$3FG(z[$!#;$!1bb2B*fYr#!#;7$$"2nmmT]R3a$!#;$!08:t(QM1f!#:7$$"-D"=1Pf$!#6$!/7W%4lw.*!#97$$"2KLL$eGdYO!#;$!2=oXX@?Q?"!#;7$$"2lm;a`R%*p$!#;$!2;h7dT<R["!#;7$$",D@1Bv$!#5$!2#Q!Gkb0vt"!#;7$$"1n;ajf1hQ!#:$!2cj=(GWs]@!#;7$$"1MLe9d#)pR!#:$!2lY*y*3>KQ#!#;7$$"2.vVBl:q*R!#;$!2d$*\w/Z%4C!#;7$$"1nT5!f0U-%!#:$!2G`j!Q**GAC!#;7$$"2Neky_&R^S!#;$!0)3p!*oc@C!#97$$".DcY&eyS!#7$!2%*[k4uvrS#!#;7$$"1Me9T`'H8%!#:$!1j$)Q00QPB!#:7$$"1nmm;_M(=%!#:$!2P<#[jJp8A!#;7$$"1MLek39$G%!#:$!2#>a6%ok<(=!#;7$$"1,+]7l$*yV!#:$!2F%3PV(z-R"!#;7$$"2XLekLMoU%!#;$!2i:'=v6g16!#;7$$"1omTg@tuW!#:$!1b=c!QjZ+)!#;7$$"1,]P%)*HE_%!#:$!2`Mu&)G88x%!#<7$$"1MLL3y_qX!#:$!2vK)yYId@9!#<7$$"1n;a8%\Wi%!#:$"2-JY<e5bT#!#<7$$"1,+v=5PyY!#:$"0Y$e)yd)Ri!#:7$$"1M$eRi#HKZ!#:$"16gEZ70l**!#;7$$"1nm;HU@'y%!#:$"2xE_p&Gh]8!#;7$$".vV$e8S[!#7$"2(47U#>e"y;!#;7$$"1LLeRu0%*[!#:$"2V1(>^"H:(>!#;7$$"1n;zW!zz%\!#:$"29qCueMQA#!#;7$$"20+++l+>+&!#;$"2b?)3[/2HC!#;7$$"20++DmVg0&!#;$"1&3'QZAy#e#!#:7$$"20++]n'=5^!#;$"1,Am'on,o#!#:7$$"1,+D"=es8&!#:$"2<$z5N$yoq#!#;7$$",voHV;&!#5$"1=5;X;k=F!#:7$$"-v$>,9>&!#6$"18F_<ZM:F!#:7$$")FZ=_!"($"2uL)e#4hpp#!#;7$$"+D(enK&!"*$"2VGkPDj]Z#!#;7$$"*vW]V&!")$"2i1*eM]&>.#!#;7$$"2&*****\d@s[&!#;$"1^X([]q*\<!#:7$$")%)RRb!"($"20]6*GH$4V"!#;7$$"+D_d"f&!"*$"1_(y"G$493"!#:7$$"*0_Pk&!")$"1:E!>#=P'3(!#;7$$"+v)Gfp&!"*$"2m&\bhDp.K!#<7$$")d5[d!"($!1.2hV&G$Hv!#<7$$"+DDG+e!"*$!2c9rLwd2q%!#<7$$"*NfC&e!")$!1bYsn14d&)!#;7$$"1n"Hd!4%)**e!#:$!2RIS+py6>"!#;7$$"1M$e9YAs%f!#:$!2ts9>%*Hm]"!#;7$$"/v=<Sg%*f!#8$!2)oO5y!4mz"!#;7$$"1nm"Hd&)>/'!#:$!2uv,Gg3h0#!#;7$$".vVo[n8'!#7$!2Y/>Q.(RmC!#;7$$"1ML$ez6:B'!#:$!2<p,eq/&4F!#;7$$"1<a8ACofi!#:$!1Lx&Q`4ou#!#:7$$"/vV[I&yG'!#8$!0AN-10ww#!#97$$"1%eRZnBgJ'!#:$!2lU(\wEyrF!#;7$$"1n;/,V>Wj!#:$!2L,'y\rLfF!#;7$$"1Mek`b`+k!#:$!1msde92&o#!#:7$$"-D1o(oX'!#6$!2A+%3(*R"oa#!#;7$$"1nT&)e!=K^'!#:$!2ZRvjF^"[B!#;7$$"1M$e9Jf&pl!#:$!16'>)f\:%4#!#:7$$"/D1k0!fi'!#8$!27V-kx[7z"!#;7$$"1nmm;=C#o'!#:$!1-nHm7/Z9!#:7$$"2lm;zCq*Hn!#;$!2^DU(H')\H6!#;7$$"1nm;z')pxn!#:$!1KC8ZRRTz!#;7$$"1nmT5rUDo!#:$!0LnJ+3#pW!#:7$$"1ommTb:to!#:$!1kKp!*p:)R*!#<7$$"1om"H(R)3#p!#:$"1oJ1CCq%e#!#;7$$"2vmmTS7'op!#;$"1@GA(e,F/'!#;7$$"1nmTN3M;q!#:$"1`\nT#)3u$*!#;7$$"1nmmm#pS1(!#:$"22;7V6S@D"!#;7$$"1Meky()e>r!#:$"2XGoP;uze"!#;7$$".D1H3^<(!#7$"2La!)p$z'R)=!#;7$$"1mTg-yiIs!#:$"1DrA&[vM8#!#:7$$"1LLe9t9'G(!#:$"2Z!RXV3.JB!#;7$$"/DcEomTt!#8$"1tOju@ZsC!#:7$$"1n;aQj=(R(!#:$"2V;53MK]b#!#;7$$"1^7`%4Y\U(!#:$"29>QZ*GwtD!#;7$$"1M3_]eq_u!#:$"1X15eQRxD!#:7$$"1=/^1cY![(!#:$"2`EMM/!*fc#!#;7$$",DOD#3v!#5$"2&>QTArqRD!#;7$$"1m;a8P^1w!#:$"2Bym\2(\JB!#;7$$"1LLek?![q(!#:$"2bQgD$3?g>!#;7$$"1nT5Si%Rv(!#:$"2F/%))oXtA<!#;7$$".DcT!4.y!#7$"1"eF3XopX"!#:7$$"1Me9"fMA&y!#:$"1Gm'p_6#o6!#:7$$"1mmmm(y8!z!#:$"1Ex%G0V9i)!#;7$$"1Me9;xHbz!#:$"1a^wD!=[8&!#;7$$".Dcm;#4!)!#7$"2`XPGLq:f"!#<7$$"1oT5:c8j!)!#:$!27')**[-Zz#>!#<7$$"1MLekX0<")!#:$!1ty!)y8;X`!#;7$$"1,D19N(4<)!#:$!1#)>lE]4&e)!#;7$$"1o;ajC*[A)!#:$!2DQ$)y&p!y:"!#;7$$"1N3-89")y#)!#:$!2z$)>@+EhU"!#;7$$"1,+]i.tK$)!#:$!211[ME1!e;!#;7$$"-vVvTN%)!#6$!2F$=%px*Q$)>!#;7$$"+DZ5Q&)!"*$!2w$fHPmOS@!#;7$$"1,DJ?lxj&)!#:$!2t``79pA:#!#;7$$".DcJ[%*e)!#7$!2lyY(QID`@!#;7$$"/v$46?^h)!#8$!2C/wgQGM9#!#;7$$"1,+D1>zS')!#:$!0TP3UhH7#!#97$$".vo\N@p)!#7$!2kvY1fP50#!#;7$$",v3zMu)!#5$!2L0m`)Q()R>!#;7$$"1o;a)QA1&))!#:$!16AZrnD'f"!#:7$$"1NLe*olx&*)!#:$!12b'R8?U8"!#:7$$"1oT5StL6!*!#:$!1Jzvn?!>t)!#;7$$"1-]i!**3\1*!#:$!1JU.?=X0g!#;7$$"1Ne9T1[="*!#:$!20.0w#=aFK!#<7$$"1omm"H_?<*!#:$!1pk6p/wBY!#<7$$"1n;a)GV/F*!#:$"2`&3LX@>yV!#<7$$"1omT&GM)o$*!#:$"1tY>gk==')!#;7$$"1o;H#GDsY*!#:$"2%GzdcPD(>"!#;7$$"1nm;zihl&*!#:$"2`%z)eK0TU"!#;7$$"1*\7.F!o='*!#:$"2)*=?(32M(\"!#;7$$"1L$e9EW<n*!#:$"1.?Y9<TN:!#:7$$"0DJqDw#)p*!#9$"2xyjj7m8a"!#;7$$"1mTg_#3[s*!#:$"2'f`))*ye(Q:!#;7$$"1$3x"[-M^(*!#:$"2J"=-U1xF:!#;7$$"-vVA(yx*!#6$"23%)eV")H'3:!#;7$$"1o;/E-+%))*!#:$"2ssP'Gzic8!#;7$$"1LLL3#G,***!#:$"2[e(*Hn[I5"!#;7$$"2K$3_Nl.55!#:$"1%zg#zy(*ew!#;7$$"2LL3-Dg5-"!#:$"1f**fckpJR!#;7$$"2M$e*['R3K5!#:$"2u$o2\\*[_#!#=7$$"2ML$ezw5V5!#:$!20.'ol?3:I!#<7$$"2nmm;.+B1"!#:$!1YCp6"pd#p!#;7$$"-v$Q#\"3"!#5$!1Dbop'))*Q!)!#;7$$"2nm"z\1A-6!#:$!1V"HkKXjX'!#;7$$"2NLLe"*[H7"!#:$!2tPJX;+9M$!#<7$$"2om;HCjV9"!#:$!1k5"p'RS-M!#<7$$"*dxd;"!"($"2[)=zI()Qo5!#<7$$"2-]7`+:5<"!#:$"2n3'o96M66!#<7$$"2-+D1W_i<"!#:$"2))[DQ=kP/"!#<7$$"2,]Pf()*["="!#:$"10)R^)z)>x)!#<7$$"2,+]7JFn="!#:$"1P`mX&R&oi!#<7$$"2,+v==-s>"!#:$!1CN&\Mld%\!#=7$$",D0xw?"!"*$!19izakZO")!#<7$$"2-]P%G?"y@"!#:$!2%pD?Fz?h9!#<7$$".vV+ZzA"!#6$!0*QRY^7d=!#:7$$"2,vVB\9IB"!#:$!21frw;3(=>!#<7$$"/DJ!)>3Q7!#7$!1=gsq%=C(=!#;7$$"0D"Go%\JC"!#8$!1sf_P%)y4<!#;7$$"2,+]i&p@[7!#:$!2ON_e5$=E9!#<7$$".v=GB2F"!#6$"2`AV4o)R;7!#<7$$",vgHKH"!"*$"1x)=&RcVB_!#;7$$"2lm"zu5M.8!#:$"1'ftm$\!e$p!#;7$$"2LL$3UDX88!#:$"1Ea2ovE%G)!#;7$$"2n;HdF3&=8!#:$"0;MoZ_jv)!#:7$$".v$4ScB8!#6$"1$G1g">%G1*!#;7$$"2L$3-V(>'G8!#:$"1oz@Uw\%=*!#;7$$"2lmmmZvOL"!#:$"1_N"**phf5*!#;7$$"2)***\iirWM"!#:$"0Xt%Rg.C#)!#:7$$"2LLLexn_N"!#:$"1zcSmfvcj!#;7$$"2om;a#R1m8!#:$"2Cj#*)*)))e'e$!#<7$$"2,++]2goP"!#:$"2\TGFYb02"!#=7$$"2L$e9"*Hk'Q"!#:$!2w_J\>=lT$!#<7$$"2nm"H2fU'R"!#:$!1p`'[&)4`,(!#;7$$"/vVB)3iS"!#7$!1;y'oJQ#R5!#:7$$"2KL$eR<*fT"!#:$!1j<w()*pZK"!#:7$$"/v$40(oE9!#7$!2G#*R6j"pW:!#;7$$"2nm"HiBQP9!#:$!2@!)[$yy!*R;!#;7$$"2$3-8!>c+W"!#:$!2'G&3L+R<k"!#;7$$"2,voz,IFW"!#:$!2i(p&*RONM;!#;7$$"2>H2e%QSX9!#:$!1Ca$\`Hwh"!#:7$$"2N$ektw2[9!#:$!2'3,"HO*\"f"!#;7$$"2p"HKH`U`9!#:$!2iWIc+L5^"!#;7$$"2-++])Hxe9!#:$!04/CX^NR"!#97$$"2o;z%Rk$)o9!#:$!2CG%*31@"y5!#;7$$"2LLeR*)**)y9!#:$!0)3iO(GIc'!#:7$$"2n"z>@;$R["!#:$!2D(4/=ubTT!#<7$$"/vV[L'*)["!#7$!2#*3V>HL"p:!#<7$$"2M3xc2&*R\"!#:$"1JCI]zm06!#;7$$"2mm;H!o-*\"!#:$"2'pt/x$44$Q!#<7$$"2LL3xS'G/:!#:$"1'ze,J,Yn'!#;7$$"2*****\7ga4:!#:$"1rwSk^x]%*!#;7$$"2mm"H<c![^"!#:$"29"Gw'\5'47!#;7$$"2ML$3A_1?:!#:$"2U4\[lv[X"!#;7$$"2omm;V%eI:!#:$"2nO$\\F\k=!#;7$$"2,+]7k.6a"!#:$"22ToBI)*G8#!#;7$$"2M3-j'eCY:!#:$"2k>*>Z%[J?#!#;7$$"2o;a84)Q^:!#:$"2$)G"G!*\&*HA!#;7$$"2%3-)Q?fRb"!#:$"2:Z,NG%eEA!#;7$$"0D1kJIlb"!#8$"1TSGj!*)=@#!#:7$$"2<HK*G95f:!#:$"1U#*enr$e=#!#:7$$"2MLe9as;c"!#:$"22KVipc%[@!#;7$$"/Dc"*p&>d"!#7$"1*4sHEI$))=!#:7$$"2mmm;WTAe"!#:$"2XKQi?3[Y"!#;7$$"2JeRZ([i(e"!#:$"2&\X5u')R(="!#;7$$"2)*\7yI3If"!#:$"1DwIvTL)y)!#;7$$"2lT&)3u"R)f"!#:$"1'f?'=g6ca!#;7$$"1L$eR<vPg"!#9$"1&o=1Jd!\>!#;7$$"0DJqge"4;!#8$!2m\2kQ%)fl"!#<7$$"2l;/,/UXh"!#:$!1d#e#\Pwy_!#;7$$"2K3xJZD*>;!#:$!1=()ota\P))!#;7$$"-D1*3`i"!#5$!2Gz#zCh2D7!#;7$$"2nTN@z$\I;!#:$!2Fv)\R/nK:!#;7$$"1L3-y'ycj"!#9$!1-nUgDs7=!#:7$$"0D1Rcj3k"!#8$!04C_dN!f?!#97$$"2nm"z\%[gk"!#:$!1m!y^HigE#!#:7$$"2.]i:A=kl"!#:$!2/ymK$\1WD!#;7$$"2NLLL*zym;!#:$!1`4+Izw>E!#:7$$"2NL3Fe#Rx;!#:$!2Z]$>ymMxC!#;7$$"2OL$3sr*zo"!#:$!2:prU%\)47#!#;7$$"2O$3xm%*H$p"!#:$!2.ABvjV/(=!#;7$$"2OLe9w,')p"!#:$!2NGN+y!4y:!#;7$$"2O$e9cS!Rq"!#:$!1X2epz(*\7!#:7$$"2OLL3N1#4<!#:$!1<%Gkk%*)H*)!#;7$$"2.vV)RZY9<!#:$!1./$))p1*y^!#;7$$"1nT&)GJs><!#9$!1%pkMaurH"!#;7$$"2Oeky^")\s"!#:$"1p=O(=&=LE!#;7$$"2-+vo!*R-t"!#:$"1k"*Qb1dGl!#;7$$"1<a)eH)\N<!#9$"1<2_8MdI5!#:7$$"2O$e*[oc2u"!#:$"2%fv#R7i$)Q"!#;7$$"2-D1R2:gu"!#:$"1;;BBo^=<!#:7$$"1nm"HYt7v"!#9$"27%fmW;!R,#!#;7$$"/vo*GP4w"!#7$"2c"HX%fF`W#!#;7$$"2PLek6,1x"!#:$"12GP^Ak1F!#:7$$"1U5:tq,t<!#9$"1[8O=u#Gu#!#:7$$"0vV)HIVv<!#8$"1Rl%R=Jpw#!#:7$$"2%ek`')*[yx"!#:$"1P+5"3P)yF!#:7$$"1n"HK%\E!y"!#9$"2t([XhV[yF!#;7$$"2Qe9m&o4&y"!#:$"2B9pJGS5u#!#;7$$"2-+++xG**y"!#:$"2%z9v/EBbE!#;7$$"2O$3-)omaz"!#:$"21Jo.t0%*\#!#;7$$"1n;/1Y+,=!#9$"1aJoPet&G#!#:7$$"2/]iS_Ul!=!#:$"1*o+)=HF>?!#:7$$"2QL$3U/37=!#:$"2Rm8"*QIjq"!#;7$$"1nT5g$=w"=!#9$"2c.7;WIVN"!#;7$$"20+D"yi:B=!#:$"1/Qs!y?ir*!#;7$$"1Me9'>%pG=!#9$"1"e*RwSwsc!#;7$$"1nm;9@BM=!#9$"1#eP+xV'3:!#;7$$"/D1%H&=R=!#7$!1`c\tejPA!#;7$$"2MLeRZQT%=!#:$!0iK8"z6Jf!#:7$$"1nT&Ql"4\=!#9$!1zUG%QzB]*!#;7$$"2.+]P$[/a=!#:$!1(R#[[jX)G"!#:7$$"2P$ek8!)**e=!#:$!1Cnh<vY,;!#:7$$"1n;a$>^R'=!#9$!2wi(GG'zM)=!#;7$$"20]PMP/*o=!#:$!2;Oite>$H@!#;7$$"2OLLLbdQ(=!#:$!2C%fm&RJXL#!#;7$$"1<z>w'Q"z=!#9$!1'\+&p)yW]#!#:7$$"2-]i!*z>W)=!#:$!20!=jdcv?E!#;7$$"2<z%\g.1()=!#:$!1H#o6gZ!eE!#:7$$"2N3F>#4q*)=!#:$!1&3E!\3@"o#!#:7$$"2`PfL[TB*=!#:$!1&))\"\"p,p#!#:7$$"2om"zW?)\*=!#:$!2YT#e$>C\o#!#;7$$"2M$3_!HWb!>!#:$!2&GoiIqkCD!#;7$$"-DOl5;>!#5$!1y$[L$z'p:#!#:7$$"/voW7;@>!#7$!1e&HfD$=<>!#:7$$".DJ&f@E>!#6$!2'*3[S!*)oU;!#;7$$"/Dch1FJ>!#7$!2l^(>%4">R8!#;7$$"*PDj$>!"($!1k8vhd#H,"!#:7$$"2-]P%y+QT>!#:$!1>4eN%o_q'!#;7$$"2/+voyMk%>!#:$!1G#zPst))=$!#;7$$"/DJ&\*[^>!#7$"2WT">YPO)\$!#=7$$"2-+]P?Wl&>!#:$"0`.Qka5%Q!#:7$$"2.D"Gyh(>'>!#:$"1Z"y)))=;iu!#;7$$"/D"G:3u'>!#7$"2ey!yBR$p3"!#;7$$"2-vVt7SG(>!#:$"2U@$osi!))R"!#;7$$"2.+v=5s#y>!#:$"2_G)elf9v;!#;7$$"/v$40O"*)>!#7$"2=H<Cps"*4#!#;7$$"$+#!""$"1B9K:h&eK#!#:-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"1LLLL3VfV!#;$"1_7`(R&4yJ!#;7$$"1nmm"H[D:)!#;$"1a'4Ula4"f!#;7$$"2LLL$e0$=C"!#;$"1">RL?KI"*)!#;7$$"2OLL$3RBr;!#;$"2cklO.7A="!#;7$$"2mmm"zjf)4#!#;$"2E%opG)QoX"!#;7$$"2MLLe4;[\#!#;$"2k\]r#\:&p"!#;7$$",Dmy]!H!#5$"1Ol3A9dA>!#:7$$"2PLLezs$HL!#;$"2<%z^\IHM@!#;7$$",D@1Bv$!#5$"1h*=fO/!>B!#:7$$"1nmm;_M(=%!#:$"1*)y'=Fx"zC!#:7$$"1MLL3y_qX!#:$"2%pdn%f_Nf#!#;7$$"20+++l+>+&!#;$"2$[.!3;y3p#!#;7$$"*vW]V&!")$"2ZQlZf1Rv#!#;7$$"*NfC&e!")$"0Xmwo&)4y#!#97$$"1ML$ez6:B'!#:$"2C&QNLcmwF!#;7$$"1nmm;=C#o'!#:$"1fK;FHyNF!#:7$$"1nmmm#pS1(!#:$"13Pab*o6n#!#:7$$",DOD#3v!#5$"28))=I)fJiD!#;7$$"1mmmm(y8!z!#:$"1(pX=XioV#!#:7$$"1,+]i.tK$)!#:$"28e'4#RI%pA!#;7$$",v3zMu)!#5$"2Y;$=y0$H3#!#;7$$"1omm"H_?<*!#:$"2(>;WpGdi=!#;7$$"1nm;zihl&*!#:$"2)e1>s=RR;!#;7$$"1LLL3#G,***!#:$"2PJhl.G"z8!#;7$$"2ML$ezw5V5!#:$"2#y>l*e524"!#;7$$"-v$Q#\"3"!#5$"1fOm$H=hF)!#;7$$"2NLLe"*[H7"!#:$"1T`+xf0T`!#;7$$"*dxd;"!"($"244$RUj'GC#!#<7$$",D0xw?"!"*$!0\>oG5!e")!#;7$$"2,+]i&p@[7!#:$!1jWK24@mP!#;7$$",vgHKH"!"*$!1'fIk9n2*p!#;7$$"2lmmmZvOL"!#:$!0Yl4d`i!)*!#:7$$"2,++]2goP"!#:$!2))R.%4c'*o7!#;7$$"2KL$eR<*fT"!#:$!2s'R.uiE;:!#;7$$"2-++])Hxe9!#:$!2_$=T_NCo<!#;7$$"2mm;H!o-*\"!#:$!1Q$[zwO])>!#:7$$"2,+]7k.6a"!#:$!1sK.K2$z=#!#:7$$"2mmm;WTAe"!#:$!1oW-N;_gB!#:7$$"-D1*3`i"!#5$!2/5wHs*p6D!#;7$$"2NLLL*zym;!#:$!2(p&3k["*pi#!#;7$$"2OLL3N1#4<!#:$!2G]X1(=p7F!#;7$$"1nm"HYt7v"!#9$!2xDWb_'[kF!#;7$$"2-+++xG**y"!#:$!2V2y"RWQ#y#!#;7$$"1nm;9@BM=!#9$!1k<Y"3"onF!#:7$$"2OLLLbdQ(=!#:$!2F"e#oT@Gs#!#;7$$"-DOl5;>!#5$!2ej()yDtDk#!#;7$$"2-+]P?Wl&>!#:$!2(f'[%REKND!#;7$$"$+#!""$!2&4uE"[x#)Q#!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"1LLLL3VfV!#;$!1_7`(R&4yJ!#;7$$"1nmm"H[D:)!#;$!1a'4Ula4"f!#;7$$"2LLL$e0$=C"!#;$!1">RL?KI"*)!#;7$$"2OLL$3RBr;!#;$!2cklO.7A="!#;7$$"2mmm"zjf)4#!#;$!2E%opG)QoX"!#;7$$"2MLLe4;[\#!#;$!2k\]r#\:&p"!#;7$$",Dmy]!H!#5$!1Ol3A9dA>!#:7$$"2PLLezs$HL!#;$!2<%z^\IHM@!#;7$$",D@1Bv$!#5$!1h*=fO/!>B!#:7$$"1nmm;_M(=%!#:$!1*)y'=Fx"zC!#:7$$"1MLL3y_qX!#:$!2%pdn%f_Nf#!#;7$$"20+++l+>+&!#;$!2$[.!3;y3p#!#;7$$"*vW]V&!")$!2ZQlZf1Rv#!#;7$$"*NfC&e!")$!0Xmwo&)4y#!#97$$"1ML$ez6:B'!#:$!2C&QNLcmwF!#;7$$"1nmm;=C#o'!#:$!1fK;FHyNF!#:7$$"1nmmm#pS1(!#:$!13Pab*o6n#!#:7$$",DOD#3v!#5$!28))=I)fJiD!#;7$$"1mmmm(y8!z!#:$!1(pX=XioV#!#:7$$"1,+]i.tK$)!#:$!28e'4#RI%pA!#;7$$",v3zMu)!#5$!2Y;$=y0$H3#!#;7$$"1omm"H_?<*!#:$!2(>;WpGdi=!#;7$$"1nm;zihl&*!#:$!2)e1>s=RR;!#;7$$"1LLL3#G,***!#:$!2PJhl.G"z8!#;7$$"2ML$ezw5V5!#:$!2#y>l*e524"!#;7$$"-v$Q#\"3"!#5$!1fOm$H=hF)!#;7$$"2NLLe"*[H7"!#:$!1T`+xf0T`!#;7$$"*dxd;"!"($!244$RUj'GC#!#<7$$",D0xw?"!"*$"0\>oG5!e")!#;7$$"2,+]i&p@[7!#:$"1jWK24@mP!#;7$$",vgHKH"!"*$"1'fIk9n2*p!#;7$$"2lmmmZvOL"!#:$"0Yl4d`i!)*!#:7$$"2,++]2goP"!#:$"2))R.%4c'*o7!#;7$$"2KL$eR<*fT"!#:$"2s'R.uiE;:!#;7$$"2-++])Hxe9!#:$"2_$=T_NCo<!#;7$$"2mm;H!o-*\"!#:$"1Q$[zwO])>!#:7$$"2,+]7k.6a"!#:$"1sK.K2$z=#!#:7$$"2mmm;WTAe"!#:$"1oW-N;_gB!#:7$$"-D1*3`i"!#5$"2/5wHs*p6D!#;7$$"2NLLL*zym;!#:$"2(p&3k["*pi#!#;7$$"2OLL3N1#4<!#:$"2G]X1(=p7F!#;7$$"1nm"HYt7v"!#9$"2xDWb_'[kF!#;7$$"2-+++xG**y"!#:$"2V2y"RWQ#y#!#;7$$"1nm;9@BM=!#9$"1k<Y"3"onF!#:7$$"2OLLLbdQ(=!#:$"2F"e#oT@Gs#!#;7$$"-DOl5;>!#5$"2ej()yDtDk#!#;7$$"2-+]P?Wl&>!#:$"2(f'[%REKND!#;7$$"$+#!""$"2&4uE"[x#)Q#!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$""!!""$"$+#!"";$!1(>Xn")zO*G!#:$"1(>Xn")zO*G!#:-%+AXESLABELSG6'Q"t6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+$!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%+J!""-%.BOUNDS_HEIGHTG6#$"%?D!""-%)CHILDRENG6"

omega:=29/10:plot([sol(t),env(t),-env(t)],t=0..50,color=[black,red,red]);

NiotJSdDVVJWRVNHNiQ3aWZtNyQkIiIhISIiJCIiISEiIjckJCIyTkxMM0ZXWXMjISM8JCIyQWVXYU44Kkg4ISM8NyQkIjFubW1UJilHXGEhIzskIjJYa209WiNbInAkISM8NyQkIjFMTDN4MWg2byEjOyQiMjIqXDxqYDEhPSUhIzw3JCQiLEQiRyRSPCkhIzYkIjAnKilmeFxwJnAkISM6NyQkIjFubSJ6JVxETyYqISM7JCIyWlgsRS9GVzMjISM8NyQkIjJNTEwkM3gmKSozIiEjOyQhMVdQVlMnR0JVJiEjPDckJCIybTt6JVx2I3BLIiEjOyQhMShcPChmJVtpRichIzs3JCQiLkQxUigqUmMiISM3JCEyTkJuYUw3VDAiISM7NyQkIjJuIno+NkJgI28iISM7JCEyPSl6UiwnSE81IiEjOzckJCIyTSQzeEpzMSw9ISM7JCEyJjRIWCJwLGYrIiEjOzckJCIwdlZCOi0nPj4hIzkkITAiZXJFIUhSYighIzo3JCQiMW5tIkgyUCJRPyEjOiQhMS0hUjZPUSQpbyQhIzs3JCQiMk4kZWsucHUvQiEjOyQiMWVoK1IwOCFwKCEjOzckJCIudlZ0YzhkIyEjNyQiMiM9LCQ+OjhpbiIhIzs3JCQiMSNIZD8+NCFRRSEjOiQiMnNOJ1xHeHB5PCEjOzckJCIyUGVSKFw7bS9GISM7JCIyRSlcIXAqUihRIj0hIzs3JCQiMl8oPVUyVEpyRiEjOyQiLzFhekEmcHgiISM4NyQkIjFuVDVsbCd6JEchIzokIjJYdVZtNjRnbSIhIzs3JCQiMHZvL1tyNyhIISM5JCIyI1shXFdbKHlINyEjOzckJCIyTUxMZVJ3WDUkISM7JCIxQi0ueDZSO2IhIzs3JCQiMlBMJGUqW2BIUCQhIzskITFwJ28kXCh5OjkiISM6NyQkIjJPTExMZUk4ayQhIzskITFOJlJpaUZsUCMhIzo3JCQiMlEkM3hjW1UzUCEjOyQhMXRadVVZI2ZcIyEjOjckJCIxTSQzLTg+YngkISM6JCExZGwhKVJIIik9RCEjOjckJCIxTWVrLk1oVVEhIzokITJFKlFOYSpHM1cjISM7NyQkIjFNTDN4d3E0UiEjOiQhMTliKUh0XTtFIyEjOjckJCIxTSRlUkEnKlEvJSEjOiQhMCIqKlFySEs+OyEjOTckJCIxTUwkM3glM3lUISM6JCExIilIQ0MkcEByJyEjOzckJCIxblQ1Omo9WFchIzokIjIxOExfRlhXYiIhIzs3JCQiLnYkZnlHN1ohIzckIjI8aCsoNGpoeEkhIzs3JCQiMWIpM0NidmN1JSEjOiQiMWp6Nm4yRGRKISM6NyQkIjE0RldYSzF6WiEjOiQiMXRXXHJhJ28/JCEjOjckJCIxaWxaUTRYN1shIzokIjIoZTcjeSRcYkRLISM7NyQkIjE8L15KJ1FlJVshIzokIjJgXkZRQzdGQCQhIzs3JCQiMUQieXYsOUUiXCEjOiQiMTsxdGlEYiI0JCEjOjckJCIyTiRlay4lKlF6XCEjOyQiMiQqZWMjW2shWyVHISM7NyQkIjBEInl2LCVINiYhIzkkIjFXQldybGQwPyEjOjckJCIxbm0ieiU0XFlfISM6JCIwZDlSI29DVyEpISM6NyQkIjJFTEwzRkdUXCYhIzskITFoN1spcCVbaTwhIzo3JCQiMSoqKlxQZmw8dSYhIzokITEjPi1ya3IqPU8hIzo3JCQiMW0ielcjXG4uZSEjOiQhMjswQjpiSDkkUSEjOzckJCIxTCQzX0QlZWxlISM6JCEyRVgxbmcyKD1SISM7NyQkIjE7SGQ/KlFsKmUhIzokITJMREA1dShcOFIhIzs3JCQiMiYqXFBmZSRcRmYhIzskITJZKSkqUioqUUN2USEjOzckJCIxJDMtOERbJWVmISM6JCExJFE5QE1OUiFRISM6NyQkIjFtbW07SFMqKWYhIzokITJ5KlspKVFNJSkqcCQhIzs3JCQiLkQieTpBOGghIzckITJkVm0jeiIqKjMoSCEjOzckJCIxTExlUi0vUGkhIzokITJXN2E1TGgxIj0hIzs3JCQiMW1tbSJIWl9PJyEjOiQhMXN4VTMsXmJJISM7NyQkIi12VlZYJFwnISM2JCIycFRwSyxwTkkiISM7NyQkIjFNTCRlUmg7aSchIzokIjFUQnpNT1IneSMhIzo3JCQiMW5tInpXbylcbiEjOiQiMmM4I3kkZSxCI1IhIzs3JCQiMUwkZVIoPihSIm8hIzokIjFyVm0uZSwtViEjOjckJCIpYjJ5byEiKCQiMSY+PzRbS0pgJSEjOjckJCIxbTsvRSF6QCVwISM6JCIxdy1LLD1kL1khIzo3JCQiMUxMM19ERzFxISM6JCIybG9WO0AlKTNeJSEjOzckJCIxbm07LycqW01yISM6JCIyaj9rKD1nME9RISM7NyQkIi1EY21waXMhIzYkIjI3OiI0XnBnJGUjISM7NyQkIjFubSJIZClHJlIoISM6JCIxVFVgLzgyTSYpISM7NyQkIjFNTGUqWyEpeV8oISM6JCExTDN2UztubzUhIzo3JCQiLUQxQ1pndyEjNiQhMUhQRVIzYSIqRyEjOjckJCIxbm0iSEtrSXooISM6JCExQmk6ND5zSFYhIzo3JCQiLUQiR2ckZnkhIzYkITF3JiopZkh6eiNbISM6NyQkIjFNTGVSaWxEeiEjOiQhMSdHcWgwWSFbXiEjOjckJCItdj1VISlleiEjNiQhMSNbOCE9eEBPXyEjOjckJCIydW07ej5fPip6ISM7JCExJ3o3I0dDb3VfISM6NyQkIjFOTDN4LDVEISkhIzokITFWSSMqR3VuaV8hIzo3JCQiLURjIlsjZSEpISM2JCExeVc0Qk0jKio+JiEjOjckJCIxb20iSDJTMz4pISM6JCExYnhGMSp6SFglISM6NyQkIjFNTGUqKT5WQiQpISM6JCEweVsmeXNsKCpIISM5NyQkIjFuO0gjbylmYiUpISM6JCEybzNlYmtBUC8iISM7NyQkIit2YHcoZSkhIiokIjE4QitDNCR6NyIhIzo3JCQiMUwkM3gxSyo+KCkhIzokIjFRPzFQJT40PiQhIzo3JCQiMW1tVGcoKTRfKSkhIzokIjEuZTxxOTRFWyEjOjckJCIxSzN4MUA9PSopISM6JCIwInBpWjh3KFImISM5NyQkIi5ESlhsVSkqKSEjNyQiMUtleCE0NjR4JiEjOjckJCIxIzMtajcydCwqISM6JCIxZUM3RT1TeGUhIzo3JCQiMW4ieiUqelsuMCohIzokIjFtIilvSTdbR2YhIzo3JCQiMERjRVohUiQzKiEjOSQiMVFVYDZDR0JmISM6NyQkIjFMTCRlOUtrNiohIzokIjFSdXhITFpoZSEjOjckJCIxbzthUSkpZlsjKiEjOiQiMmJrI2Vrc1dnXSEjOzckJCItREpidyFRKiEjNiQiMlg8JGV3bENtTSEjOzckJCIxJjNfK0E6bl4qISM6JCIyJHljM0JlOE03ISM7NyQkIjFuVCYpM1xtXycqISM6JCEyJTMkNCkqUXZsRCIhIzs3JCQiMERjd2Y5Jyl5KiEjOSQhMndsaic+akY1TyEjOzckJCIxTiRla0drWCMqKiEjOiQhMSo+KVEnKmVBVmEhIzo3JCQiMXgkZjM4UkQqKiohIzokITFDKCpcOT5LamchIzo3JCQiMj0vRXZSXmcrIiEjOiQhMWNaOngnUmhXJyEjOjckJCIyUTRZKFIsWDQ1ISM6JCExbyhSI28tVFVsISM6NyQkIjFZaCc+KSlbRywiISM5JCExJjQkNCZIO0tkJyEjOjckJCIyIik+Jz1Dd0M7NSEjOiQhMS9xNXJQJXlgJyEjOjckJCIyLUQxa09ZJz41ISM6JCEyOiFRRlpkQ09rISM7NyQkIjImZWtHTjhDTDUhIzokITFBSCdRaG4rUiYhIzo3JCQiMm9tbVRJT28vIiEjOiQhMTI7RiVlRTZYJCEjOjckJCIyLURjLHc1KWU1ISM6JCEybF4vSkxXRkIiISM7NyQkIjJNJGU5O195cTUhIzokIjJVOkVnOitjPSIhIzs3JCQiMm5UTkBuZkYzIiEjOiQiMVJvdTgnKTMwTiEjOjckJCIuRCJHVHQlNCIhIzYkIjFCN2BgXkRMYSEjOjckJCIyTWU5VGUzbjUiISM6JCIxZlgkUS0pKTNzJyEjOjckJCIybzsvLC8kbz02ISM6JCIxOWpRaSc0VT4oISM6NyQkIjIsdiQ0J1xkMTgiISM6JCIxTzAxdUs9eW4hIzo3JCQiMk5MJDNfPmpVNiEjOiQiMXk3Lk1tJHldJiEjOjckJCIyX1BNRjpzJFw2ISM6JCIxKWUlNFleZ21XISM6NyQkIjJvVCZRYEI2YzYhIzokIjFXKD5rRGhzQiQhIzo3JCQiMiZlay5hRCZHOyIhIzokIjItI2VZKT06bic9ISM7NyQkIjIsXShvYUZmcDYhIzokIjIvSzkjeXAlKXpTISM8NyQkIjI9YVFgJkhMdzYhIzokITI5WjRAYWQ9MyIhIzs3JCQiMk5lKilmOnRJPSIhIzokITFMTXRqJD5SYSMhIzo3JCQiMl5pU21OOCkqPSIhIzokITFRVVgkbz4pPlIhIzo3JCQiMm9tIkhkTmInPiIhIzokITEteCk+IT4tYV4hIzo3JCQiMix2JGZlUi41NyEjOiQhMW9GRWFUby1xISM6NyQkIjJNJGUqKWZWXkI3ISM6JCExOlFGWSRSRHkoISM6NyQkIjJvIno+aFoqcEIiISM6JCExQVZbeW1YXHQhIzo3JCQiMi4rK0Q7di9EIiEjOiQhMThqeFR5YltkISM6NyQkIjIsXWkhUklDZDchIzokITE3dycpRyVIMGQlISM6NyQkIjItK0RjIjQsazchIzokITJqbCo9RmMhKSk+JCEjOzckJCIyLl0oPSN6eTJGIiEjOiQhMjskZm0zIilcJ28iISM7NyQkIjIuK10ob21heDchIzokITFrXUxnTGglRyohIzw3JCQiMi9dN2BhOVZHIiEjOiQiMjolei1zaDU+OiEjOzckJCIyLit2PVUjMyJIIiEjOiQiMmNKIio+ajFdMyQhIzs3JCQiMi1dUCUpSF15SCIhIzokIjFwOiQ0JHB3VFghIzo3JCQiMi0rK108PVlJIiEjOiQiMUMoUiI+bjVJZSEjOjckJCIyLStEIkdSOj04ISM6JCIxJVslKVwwJ3AocCghIzo3JCQiMiwrXTdvKm9KOCEjOiQiMUE3RnkwKVxQKSEjOjckJCIudlZWRF9NIiEjNiQiMSpvcFJtekx0KCEjOjckJCIsdj1oKGU4ISIqJCIyYillSiJlVEEmZSEjOzckJCIyLCtEMUgkR2w4ISM6JCIxT3hXcEl2eVghIzo3JCQiLXYkUjA9UCIhIzUkIjE3OidlVGReNyQhIzo3JCQiLnZvXEYkeTghIzYkIjJhS2wpb3orVzohIzs3JCQiKSdcW1EiISInJCEyLiEpZWR0JXlwNSEjPDckJCIyLStESnFyOFIiISM6JCEyKT4jelpwSXF3IiEjOzckJCIyLCtdaSFRKnlSIiEjOiQhMVlCXFFEY3VMISM6NyQkIi52JDRmVC85ISM2JCExRnQnXEBnJXBbISM6NyQkIjIsKytELFE0VCIhIzokITJsPiQpM1JLYD4nISM7NyQkIjItK10oPUEpUlUiISM6JCExaSc+WnM7YzkpISM6NyQkIjItKytdVUVxViIhIzokITEobypSJj0lKlIjKikhIzo3JCQiMi0rXTdqcStYIiEjOiQhMG1uKSllI3ooUikhIzk3JCQiMi0rK3YkWzZqOSEjOiQhMWxhS1ZyRURtISM6NyQkIjFZaCc+YFAhcDkhIzkkITE0SFo+KT4nb2EhIzo3JCQiMj5IS2tBZ1xaIiEjOiQhMiYpeUhadk1yOCUhIzs3JCQiMnlWKSozI0gpM1siISM6JCEyJWVlKVxCTC9uIyEjOzckJCIyTmVrYGgwb1siISM6JCEyTz8vJyl6UkQ2IiEjOzckJCIyI0gyJCk0JEdGXCIhIzokIjJCJXknNHQvVypbISM8NyQkIjJeKG9ILzVsKVwiISM6JCIyQnJWJj15dSczIyEjOzckJCIxQEl3KXB0WF0iISM5JCIxWiYzSGdgL2okISM6NyQkIjJvO0hLUidcNTohIzokIjFZJFFBdWdIMiYhIzo3JCQiMiVlOTsjeVRCXyIhIzokIjEoZiF5aGJRenUhIzo3JCQiMHYkNHJyPU06ISM4JCIxayhSX05NYSsqISM6NyQkIjEnKilmYicpNCxhIiEjOSQiMS5HalAjUj5QKiEjOjckJCIyPS9FK2NLZ2EiISM6JCIwcChcS0E+YSUqISM5NyQkIjJ3PSNcYV8mPmIiISM6JCIxWHRmZD0lekMqISM6NyQkIjJOTGUqW3ooeWIiISM6JCIxM0h5bDB2ZCgpISM6NyQkIjJVJlFgMDEjXGMiISM6JCIxN0FvcStEQ3khIzo3JCQiMl5QNEBFaj5kIiEjOiQiMVEpemBVPmhhJyEjOjckJCIxJypbbz1mK3o6ISM5JCIxOk8kKXpaPndcISM6NyQkIjE8L0V2JltnZSIhIzkkIjItQW0pSHFKIT0kISM7NyQkIjJ6JGYkPUIiNCRmIiEjOiQiMSVHO3QvcFhCIiEjOjckJCIxZjlUKSlROCs7ISM5JCExcCZ6KTNoXXp4ISM7NyQkIjIlenApXGF3cmciISM6JCEyWkgqR3Mwb3FGISM7NyQkIjIuXWk6Pz5VaCIhIzokITE9cjFEU0tkWSEjOjckJCIyNy1RImU9RUA7ISM6JCExdyYpZToqKmViaiEjOjckJCIyPWE4Wl4vJEc7ISM6JCExV3EkUWcmeSF6KCEjOjckJCIyRjEqR3JyTU47ISM6JCExInliJykpUjUqKikpISM6NyQkIjJQZWt5IykqUVU7ISM6JCEwJClHZ05nL2oqISM5NyQkIjJWTV9oOjZmayIhIzokITEnNFxHTltNJSkqISM6NyQkIjJZNVNXW0slXDshIzokITBAOEIjR3ZdKiohIzk3JCQiMWx5czdRJkhsIiEjOSQhMXNbUic0bzMmKiohIzo3JCQiMmJpOjU5dmtsIiEjOiQhMVZCJzNaV00lKSohIzo3JCQiMVk2Zih6PE5tIiEjOSQhME9aZjQlUjUkKiEjOTckJCIxbm07YS9jcTshIzkkITE8I0hwayUqPVApISM6NyQkIjJzIkgyM2xfdzshIzokITBEWz9HbXRHKCEjOTckJCIxbiJ6PmMjXCNvIiEjOSQhMkRcZG41IjNyZiEjOzckJCIxPGEpZWhlJSlvIiEjOSQhMFoqNC1ka2lXISM5NyQkIjJvbSJ6cFlVJXAiISM6JCExLkIneidvJXkhRyEjOjckJCIybiJ6cEIyUis8ISM6JCExbi5LSDFFZDUhIzo3JCQiMW5UZ3huTjE8ISM5JCIxKXomPVc5JkhOKCEjOzckJCIxPC9eSkdLNzwhIzkkIjE3d0Y5clQ5RCEjOjckJCIxbm1UJikpKUc9PCEjOSQiMWRHKlIhMyRbQSUhIzo3JCQiMTxIS1JcREM8ISM5JCIxTWU7JHk0SiJlISM6NyQkIjJuO0hLKjRBSTwhIzokIjEyYSg+PFkkSHMhIzo3JCQiMm1UTnIvKD1PPCEjOiQiMVosKVE9PyhHJSkhIzo3JCQiMW47LyxKOlU8ISM5JCIxVlhUMSQ+SFAqISM6NyQkIjE8eiVcOj4iWzwhIzkkIjJDKykpZkBPSisiISM6NyQkIjFuVCYpM18zYTwhIzkkIjJpb1pRej0jUTUhIzo3JCQiMSNIMmVCb3F2IiEjOSQiMlFCbms3KXpWNSEjOjckJCIyb1RnRkVeK3ciISM6JCIybjYxXyV6SFQ1ISM6NyQkIjI8YTgoKkdNSXciISM6JCIyJHk9eSZwPDIuIiEjOjckJCIybm1tbUo8Z3ciISM6JCIyXjk+TGY+QCwiISM6NyQkIjJFMWtjRGRIeCIhIzokIjFqayU+UWhqUSohIzo3JCQiMidlOW0lPigqKXo8ISM6JCIxdlkjKTMmUVJEKSEjOjckJCIyWCYpZU84UG95IiEjOiQiMUQjM1UxKT1wbiEjOjckJCIwRGNFMnhQeiIhIzgkIjExLzcmKik+QypcISM6NyQkIjJka2A7LDwyIT0hIzokIjJkKClbJ0hBYScqSCEjOzckJCIyPC9eMSZwbDI9ISM6JCIxNzJ0b1JuUycpISM7NyQkIjJ3VlsnKilvZjk9ISM6JCEyJ2UoW24kSEk7OCEjOzckJCIyTyRla0dvYEA9ISM6JCExZigqXFY6UGBNISM6NyQkIjInSEtrbm5aRz0hIzokITExVkxIV0VkYSEjOjckJCIxRDFrMW5UTj0hIzkkITF4YWVlWEBWcyEjOjckJCIyMy1RY2tjQiU9ISM6JCExJ2VlRi9eXnQpISM6NyQkIjJuVE5ZZSdIXD0hIzokITEsY3l5OyUqbykqISM6NyQkIjJGIkdqQmxCYz0hIzokITJ4WSZlX11eZjUhIzo3JCQiMiczLWppazxqPSEjOiQhMj4qKUg8Pj4iKTMiISM6NyQkIjJZZ0Y7UzssKD0hIzokITJFUSZRNih5NzIiISM6NyQkIi5EMU1jcSg9ISM2JCEyJCl6NydwZVk0NSEjOjckJCIyWDVsRE8qPiQpPSEjOiQhMSdHVzguPTM+KiEjOjckJCIyJTNfXSVRVSQqKT0hIzokITEjZS88XHI1KXohIzo3JCQiMkVKWGtTJlsmKj0hIzokITFhJFxvJSk+UV0nISM6NyQkIjE8YVFHJUc7IT4hIzkkITFrVzdjXlYxWyEjOjckJCIxQGJLXTl4Mj4hIzkkITFQc3BfMHVWSCEjOjckJCIxRGNFc1ciUiI+ISM5JCExTywnPjl5QncqISM7NyQkIjIlSGQ/JVxkKyM+ISM6JCIyWyh6XD8qZj0uIiEjOzckJCIyTCRlOTswP0U+ISM6J