Q5_1030 - Math 415.01 —- Quiz 5 — 10:30 recitation...

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Unformatted text preview: Math 415.01 —- Quiz 5 — 10:30 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Please show all work. Answers without work will receive no credit. You may use both sides of the paper. Vbt’l’lxouo ’ name. number : (1) (8 pts) If y1, y2 are solutions to t2y" — 23(25 + 4)y' + (t + 1)y = 0 and W(y1,y2)(1) I 3a then find W(yi,y2)(3) (2) (17 pts) Consider the initial value problem A>0 y” + 22/ + 6y = 0, y(0) = 2, y'(0) (a) Find the unique solution (b) Find A so that y(1) = 0 (C) Find as a function of A, the smallest value t for which y(t) = 0 ( (:1) Find the limit of your answer in part (c) as A —> oo CD MV'VVICE) ca’j’ Cd‘El‘JE; Cheat xxx/quote» .: CC‘YQ‘ ; Cg : .2 (fig W%,w~(§): é (Byte/3 ;’ gsef Q “2. i! ’ I O 7/ ‘i 27+67;O -'T,L+ ZY-J-Q:O ( q; vzi Wfizizkf 1 2— r3? VQH -, 9} CG CosCfYE)+ LzfiaCfs-t )) v'Ce) ; e:E (~va Mm) + fvclcQCH—D yCd-“vl :9 Cl: Z VIC/0’3: A \f8— CL;A 04 (11:3 J:— a) 5% Sow we): 6% ZeooUfifiimcrre» v”: k) Yam e‘Czoostgww) :0 / => EQACfr); —f>“C'2.) 0" A 2") A” "LC? ECanrE) {73‘ €03 J— omfjém "rio— \/5‘ A Math 415.01 — Quiz 5 — 11:30 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Please show all work. Answers without work will receive no credit. You may use both sides of the paper. namemumber : VLA’WQ o I (1) (17 pts) Use the method of reduction of order to solve completely for y2(:r) Where 1 Sinai fly" + my’ + (x2 — —)y = 0, x > 0: 111W 2 4 \/E (2) (8 pts) Find the general solution of the ODE : yll+yl+4y:et_e—t We © VQ‘OQl’vLCL/x ,, Q51 NCMD —> (Mad 5 theorem) Wmviij : Gig-fie” ‘ ax-) ’6) 7"4 7'4 4y ’c -E :Q’E, Q) HOMOGKINQJSI y’HJr 7+ 47: O O. 'X4Y+Ly>© “K: ...
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Q5_1030 - Math 415.01 —- Quiz 5 — 10:30 recitation...

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