quiz4 - Math 415.01 Quiz 4 Name TA Younghwan Son Rec Time...

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Unformatted text preview: Math 415.01 Quiz 4 Name: _________________________ TA: Younghwan Son Rec. Time: _____________________ Form A Show all work; answers with insufficient. support will not; receive credit. GOOD LUCK! 1. Find the solution y"—2y’+5y=0 y(W/2) = 0, y'(1r/2) = 2 CAAI‘afllerlkfit eyn : Van +$=o v.5» y = (1 l—4’= 7:.- C'Ie'é (05.2% +921" {met I .u. / {0 7M): geémx 4 Jgefcoxgé I .1 _ 74):; -=) o +2ge .(4; =J. (}=_e vi )’= - e‘ e£ 17th I 2. Find the general solution of y”+9y=te‘ + 5 El) bmajeneow J3 /» Han. }*+q~ =0 => r=i3i >," =c, aarzé «Lax/Hal ”J [lizrfic‘ubr «(ca/“717m {at y —_- (A£+B) 2“: Azeé+ fle“ +¢ r2 AM + Ae"+ sei 7M: Ageé + 3/74?5 +/3e“ 521m Yl/J-9T == z‘eé +4 /o,4iet + (2,4+/05)€£ +7-c = $695+; {0 ADA-:I. ILA—{'[oB-a-o 7vC=é .9. A=[—£ B=~~L <=§ y=7A+Y .,. c, (o;3{+95:}«?é + #{ef — g 625 + i Math 415.01 Quiz 4 Name: ______________________ TA: Younghwan Son Rec. Time: __________________ Form B Show all work; answers with insufficient support will not receive credit. GOOD LUCK! 1. Find the solution y"+2y’+2y= 0 y(vr/4)=2. yer/4) = ~2 (Aaraaleijffc £971 3 )”‘+J-)’ +..1 = 0 -=> l’ " -l i L Y = C. 8‘ Cali + 93' «If/hf )’(-1 ;}=J>C,€%-fi+ge—%-é=.z 6) Wm -—- — C, 64 £0115 - C, e'fr/ht ~ ge‘iflht +96%an I ..31 y(%)=—1=? —C|e,"\r J. 1__,_J (=0) -fi 2) -CIJZ-es‘=—-J. 1 =52; Fbm ' “II-1 9% 0‘ Mcle’H—L“L =>9=01 Hence }: d] e" e43 (asf +01 2" e’itfllt. 1 l - 9- -C.e£+, ~geF-f—L’r96 v1 =—.). 2. Find the general solution of y"+y’+4y=e‘—e‘ d) Aortagemeaw {a/ufiZn : "9 13+? +4 =0 t :3 , “E _ -.)/= (‘2 MOI—Em + CAQ (a) Pin-H tutor .S'o [UL‘HM . Ie+ Y= Ae*+ pe—i {a fine general {ald‘l’on is y=7h+T e = (.e" MCI—Eff) +942 1:: '2. m:( J1?- "I 7” +7”+4‘7 =0 .L f) +15 ...
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