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q5b_soln - Math 415.01 Quiz 5 — 11:30 recitation(Vutha...

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Unformatted text preview: 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. name.number : \lu’l/L‘Q o I (1) (17 pts) Use the method of reduction of order to solve completely for y2(a:) where 2 ,, 1 )=sinx my +xy’+(a:2—Z)y=0,x>0, y1(a: fl (2) (8 pts) Find the general solution of the ODE : y”+y’+4y=et—e_t @l >12" (5.5 X n X‘lm) 4, \AC H ) : CKZ‘ 6) , :[1 C W7 W [A ;._‘ .— 518} VI #1 IX ,.. C X" x/l. clx 5"“ Sinx o XJI’L 5\n)L .SMQX : _c 6::an + I) 72.: Co+x SmX _ Co) X 7,!l4 7”} 4’7] ; -£ Q£’€ u ’ Q) {4,01%oner 7 + 7+ 47: C “(0—1 Y + 420 YkCfi) = PfirrLflcuW YFUc) 2 Age 4 £56:E L (k ' A :1 éA ‘ 6 QB ,1 I3 “— 'V Y: —‘im ...
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