quiz12_Solution

# quiz12_Solution - I Rt(plzx 0y*O.4*t-sintD,rbnt*i,tt =...

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Math 242, Spring zatL Qttiz L2 N^rner.f.Q.4!/{Q(. . 1. (10 points) Use the method of variation of parameters to find a particular solution of the differential equation: 1 y" + 4lJ sln r cos r ,lztt =C g:3fl.i 9c= Cn{,67x+CzSt'nAx Scrr'rl" &, {X {x) = U^ R) LaZx t az(x) nitRx 4 =(W:urt 5lnzx) + (fu,ginvx +Aqps?-x) aseume /.ie is O { = ( B,u,t Slnzx + R.u)coA,) + (- It qd&x - 4 u,sin 2^) S*A*'l',iv-: - fui5inux
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Unformatted text preview: I Rt:(plzx - 0y*O.4*t-sintD. ,rbnt*.***i',tt) = \ wsla'u,' t srnlx 'ul : o l'U'wvx 1 | , { lt \-lrinex rr; , ]t:n?x.u) = ffiy i rs;rz*1 ,J r1 ( ***zx + AJt1d) u,' t ty*lb z" - p'u tj?\ u) \ t-.----t;-a- ' \ o t -[ nl =-l ) w/r.)- (-,rc-= -x+c,oMhou"^o W*" ,nl = - cotzr.,,nl z- oolrJx 7 r,r2{x) = \p+rua" = }S*\vtl",t = }il,lsinzxlrt, I g(t0 = e x\ . tes2u - iA"Et\exl , eln2x =...
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