245ch3&4testsoln

245ch3&4testsoln - Fall 2007 tath Prob. 246 t I -+4 On...

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Fall 2007 tath 246 (l7oct.l007) O n t I -+4 Name: SOrtrd<fn [via( k tr, Prob. l. Find the particular solution of the following 2nd-oriler ODE: C,hara de,r.rali. . q" **zL*2v =3e-2' . dx' dx f t+3r+ 2, -o + (f+t) S+,t) = o + y-; -,1r -{. . -nl -t $o*l = c,d'"+(7P- - At- t+aL +3(a^2t) + - A= 3 3 €Lt- A=-1. xLl€,7t= clr Prob. 2. Write the following complex number ; = I =tj?;'" "p. I = 5Y4 i(etrnn) {= Pe' = tii \CsU +r',{ E-- -i "...i./, N"t t(et '++&N iA a.yor6t\o^q t<ok*"*tfuft;l4rrn^X"^!r-"g{,n autl€o fr""( h*. ?"*- r^ S,fi. L^L h n Yr=A(r-at)4" Y"= I (-++4t)€ab S,'bsL[rrfr A^fa fL oDF. Ytr=-!$k s*.'k^ *W f*r^ Yttt= A+' a2b -2-2i in its most general polar form. f-' r =\B =lrtl.i
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Prob.3. Find the particular solution of the following 2nd-order ODE: t4*9y = 4sin4x. dr' C.ha^ocltusk3", f*q=o #1.2=-{ { r=t3i ,furrl{+l'ut )A,na ftlaonaa c* $.1'f* bu.511r,r ^ u^)1. . a-(rsnquo*r, S. ?o^*lr-qar
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245ch3&amp;4testsoln - Fall 2007 tath Prob. 246 t I -+4 On...

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