q9a - ‘ Ens/AW QUIZZ 9 MATH 2233 SECTION 2, SPRING 2011...

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Unformatted text preview: ‘ Ens/AW QUIZZ 9 MATH 2233 SECTION 2, SPRING 2011 INSTRUCTOR: WEIPING LI Print Name and Student # SHOW WORK FOR CREDIT !!! SHOW WORK FOR CREDIT H! (1) (lOpts) The given differential equation y/II — 2y], — y] + = O, has three solutions y1 = 6i, y2 = e“, y3 = e“. Find W(y1,y2, ya). . 7" V2 7:; WM: 71%) = 7.; Y2” '5’ YI/ yz” 73” 8f elf :— e‘i’: P 6"": Zea/i“ *{7 '- z 6 QT 46. t 'f: *‘t 2%' i l I :6 a 6 re ' It '2. r I ‘f i, 2“: J+Il ' Z w 2+! ‘ ' i + {(vifflf 2 WEIPING LI (2) (lOpts) Given that 26, t2, % are solutions of the homogeneous equation corresponding to tzym + 752;," — 2ty' + 23,! = 2254, t > 0. Given W(t,t2, = %. Find a particular solution, by using the method of a variation of parameters. rr/_ :1 I/_ it /,TL i _: Z ft tall 21’: ‘ g 0 Ya 0 fl {7'2- 2 {’2 Vt”, ' “y; “C “t 32H") ' I w 3% "' 369 72/ js/ at; 2 2f; 6%; f 1’” .— m u ’éia r ~65 ’ 3 “(5% i”) W ‘ 6/;k ’ ' flue):— ~‘t cit = ’-1 "f ..:; W O y} t 0 fit 2 3+2 JV ‘6’, W2 X/ 0 VB” 9 I 0 vtb _: i '{_e/ yfl gm). )(37 0 2i; 2,63 _ : ~2‘tz‘Q—2t") 241': Cr“: 1W3“: : 3T?- 2- _ . Z L ) V\/ é/é 5 Caff)‘§fiadr=7f -: W ya 0 f f D a 33 i“ fa W5 Y(: 7;: 0 :2 f 2f 0 :2f 60+ /:=2f4 Y! 72/ 4- O a 215:: i 2f / rjag? 213/ 15 I: 5’ L; g 63%) Cylf)“§ffcl‘t;3§t ...
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q9a - ‘ Ens/AW QUIZZ 9 MATH 2233 SECTION 2, SPRING 2011...

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