Quiz2.Beta.Sol

Quiz2.Beta.Sol - AMath 250 Name Quiz#2 Version “fl” 1D...

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Unformatted text preview: AMath 250 Name: Quiz #2, Version “fl” 1D# Monday, July 12th, 2010 [Marks] 1. Use the Laplace transform method to solve the initial value problem y” + 43/ + 4y = 6’5 9(0) = 1, y’(0) = 0- (31 v a t F _ i ‘l‘tmn‘j’ccm- [S \/ ‘ 53(03‘kjwfl + q l— - u x M- (sgwsflly : 5H 5, _\_ S ’r\ ~— + ‘i \ 3‘ 5 (\ “gala w; "'7 Vlsl = S J, __ S + 55 + 3 WWW» 3‘ a v M vwmfiur ' bcccmeflc ‘m’ho PM‘RA S'mclfionsfi a” "’*""*« a m 5 5r C- ("if ‘ -‘ x \ Eli—i : f:— + E— ; lr ‘ \q/J (s+2)a(s+\) 5+; {5+3} SH ‘ 3- :7 ghgs’r'; = A(S+a)(SH) 1? 8(3’”) + C(gfa) SCVht-‘D S: ~\ 3“st \: C 36%") S: "D- S‘WQ.) -—‘: ~g) 5“ @:l x“. Comwakfl 33' laws 5?“; I: A +C) so A=O_ \Ae how \AONC Ylsl = \ __ + L 3 SH Q91) 4 -ch So all}: e + fe . Ln 0% <lalnnkml) ow m2,“ 3 Saki-NA E) volil cal) ll” 70) l’ J and? vullrj “ml owr (mam; l) 'l‘Lq, sol‘n. in all f Cam 2. Use the Laplace transform method to solve the initial value problem y’+2y=f(t), ,y(0)=0> 4__4t, forte [071) h t = ’ W ere {07 fort€[1,00) v' * 2:) = (We) [Hm— HIM) \IOQ WA SAW : Lin-HM» “MW/H) = Lle- mm + Lilé-UHle—q Am i w WW = .1- :i. + .915 S 53 $1 5 5" ’7 Visl: Lia—Ll _} i 6'5 53854) 5379;) Paul‘wA Fracifiw‘y' ng~Ll C. :‘fi‘l‘gl—J 53(92) 53 sill =97 Lls—‘l = Asls+1)+ B(s+2.)+ C51 §£H°\j S=‘l j}v¢,-\Q_=L(C} so C=-3 Blvt} ‘L‘ : RBI 5“ B: —; 5:0 Cumearlb 51 lam; give} 0: A'i'C) So A: 3 . Mumfiik) i __ Ayfit EL 57%;) 5+.)- .. S S; 7) Lt : A5 (Sig) 'i' 8(Sfl) +653. q: , So C;l S20 give) “=23, 5' 8:1 sum 5:» 0: Am, 5' =4- 3: *3 gives “gm M mag ankle \/(s= Zwi-l)+ E—lli \LE sl 5+3 (3“ S 9-1 >9 5m: 34% w Jr (aw i + e — .' may“, {w Ee [0,!) (3-335%, lwéeCuwl ...
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This note was uploaded on 01/26/2012 for the course ECON 401 taught by Professor Burbidge,john during the Fall '08 term at Waterloo.

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Quiz2.Beta.Sol - AMath 250 Name Quiz#2 Version “fl” 1D...

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