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Quiz2.Alpha.Sol

# Quiz2.Alpha.Sol - [Marks[10 AMath 250 uiz 2 Version “a”...

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Unformatted text preview: [Marks] [10] AMath 250 uiz 2 Version “a” 7 Monday, July 12th, 2010 Name: ID# 1. Use the Laplace transform method to solve the initial value problem Age; i‘ (53% saro)~5’(o)]+2[sY-3(O)]+ (DY = EL: l-t- (53 + 9.5 + ‘037 = l ’31 97 W53: —————-——~—\$ +350 53(5 \rlsHOl + 5.2 a. .— S 0, y’(0) = 1- 52+ 50 9. TH) KS Maudie: S0 we eat“) um like waA gawk“ AC‘U’WHA‘BM 59+ 50 ﬁfty,» to) 0*} - - A}, 5 s 9 K L 1‘ < , /t K,“ _ k 3‘ _ Tl“, re‘leL es the 3 +50 v Asthma) + Elsa+lsll°l+ (Gm); - w COM Von. (cam-1‘.an ‘. TL“) WC ;.|"& ‘erle Vlsl= 5—1. s3 s : ab.)- 5 s = 5. - _\ s’ 9 So 3M: S£~l a 51‘ 50: ME I So g: S " O: lOPH'élB / \$0 a. S : 1 : 4" 8+ 0/ 5° 3 . S ' O: A+C ) So i 25;, \$+ls+l0 ‘x ~ 1m ‘9‘ f “’1‘ 4' S a SH) H \i all If)“ {90301 -e ~ t + e 05% — e sth, ‘3 A=-\ D=*9~ C=| (Ted‘nko-llj; 0"" mm c&' 30iux¥ihx is valwx 0v\\3 in {320) loml’ ‘3“- Ctm 60-5“) vedxrj Hap": m Our (null works iw 0;“ s ’L‘ 3 ‘31 A" \W‘x’ 2. Use the Laplace transform method to solve the initial value problem y’+ y = N); ,y(0) = 0, flt)={gsin<t>w 33:32). :3?" Hint: sin(t) = — sin(t — 7r), and cos(t) = ~ cos(t ~ 7r). We owe. 5m" 3' + 5 = 2M: [HM- H [is-“ﬁll {95} = 25% HR) — am Hlk‘ﬁl = 294% + :2 Mame-“l. in); _ 3C9) Ni 1 V v 1 2 “5 r) 3 +7 v w e a Sal—l l Sal-l E) *' so \) =_.2____.. DQCom€°>Q ‘l’lw Full-EMA 2112(5st L a A + 35%. i (§+\\(s“+\\ 5H 33% =7 1 = Aka“) ’r (85+Cl(s+l) sew s=—\ 3"” 2=2A / m A=\. 1kg 5;“ in», 3m 0: MB, ;. Br TL: s° 1mm 32w. 2: me, 50 c: \IJt now lung Y(s): _ 3?. + EL](l+€‘1TS) 5H SH S’*\ we a 5m: (8*, ask If 5m) + (6-0”)- (“willmlt-«llwgﬂ‘l iii 1" 4 ; M \\_,,, ~ ” 3 ékv Cosl’. + Sisal; 4' (813% l- Cos‘l'. " 9’41)“ 05"“) (l é£—cos£ +573; I l" {UL-01'“) {he‘le‘l‘ lw {:6 C13”) . I 4'1 (Ski-(J = hwwgll ...
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Quiz2.Alpha.Sol - [Marks[10 AMath 250 uiz 2 Version “a”...

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