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Quiz2.Delta.Sol

# Quiz2.Delta.Sol - [Marks[10 AMath 250 Quiz#2 Version...

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Unformatted text preview: [Marks] [10] AMath 250 Quiz #2, Version “6” Monday, July 12th, 2010 Name: ID# 1. Use the Laplace transform method to solve the initial value problem y” + 23/ + y = Ll cos(t), Aﬁlj i: [\$17~ Sjlol'ﬂ‘lol‘j-lv Q [synjloﬂ + \/ : if, a S +l g 1.4. <\$a+35+lly = l l SL5 _ Sa*‘is-l\ Sai— \ \$9 ‘__ \ {X i‘ h. .1 v) VB): 5 irLlSl'l {Suﬁsm Decom‘oose ‘m‘m owl:st gmeﬂons: Sal- Lls ‘rl A B C; +- D w” : "— ‘l' —-a’r 1“ (snﬂs‘m SH gm 5 H " 1 a a “'7 g +Lls+l = Als+l)(§+\) k 8(3 HM (Cs+D)(ml sang s=—\ 9m -2: 23, so @=~\ Cohan-m3 5.3 km Sin) 0: Al C (D Camels.“j 5" 3mm, 5%, l = A H?” D 69 (WW!) 5‘ ierms 3w H: A + C +AD . => 0:; (QMG) =>A=o (£4.49) 5) C30. ‘ iii/Li; \mm ..‘ l “W = Wslv 33— ~ *3 s M Q”) -t x”? so 5l£l~ 23ml ~ Jce [’2' (Our the,“sz is Valli Only SW £70} Lv-‘l' ‘m we. San-«3‘ 16w, SvlfA’Tu- in! a“ ‘l: . [10] 2. Use the Laplace transform method to solve the initial value problem y’+y = f(t), ,y(0) = 0, 1 for t E [0, 2) where f(t) = —1, for t 6 [2,4) . O, for t E [4, oo) R€W(:s(\\haj but Mmﬁ Salve, bun-- [mmw-aﬂ ~ \Mmmm] = w— aim—1) st Hllz—Lll‘ ‘“"‘ -35 "(S \ A i‘ sY+\ = 1 ~ 36 g W5 l S T 4- ; \V. v ,1 J‘l ) VH3 .__.L—-——(\-2e Sires) 5 (5H) VOA-NA Fraéﬂh“ ; _: A + §_ \x 58% S m =) l- M5”th w ‘14; f 5‘ g' \iZ/i Sebe Ss—l Siva Selma“ keel» *(3‘9 5P stay, he“ Qiuxloﬁwv‘) We keg? moving 34”— K \ etumludum 9054‘”- lair ...
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Quiz2.Delta.Sol - [Marks[10 AMath 250 Quiz#2 Version...

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