math244 quiz4 wint05

math244 quiz4 wint05 - Quiz 4 Math 244 Wi 05 Name u t -- .4...

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Unformatted text preview: Quiz 4 Math 244 Wi 05 Name u t -- .4 . _ a. Show all work for full credit. 1.)(10)Given one solution for the following D.E., find a general solution. 9y<3>+11y<2)+4y<”-14y=0; y1=e'xsinx m3 +Hr‘ + w am (Qr- ’73 /(z+2r*2.5m «1*2’+2’:O .. (“W-h \w‘ Mfr) -.... ,mem W’- — “pix :M G. (-wi— N4- ” l “M o V{Z*2r+2 o “rmza +‘ :- ,xs. X “ H v). ’ 2 ‘ 0?;Q‘XCOSX ., :x u); : e, - A- WWW-w / 1 \ __,( C C‘IX IVl 3X L ‘ CM? SUM? 4' Cz‘e Co * 3 ‘Ow W 2.)(10)Solve the following DE for its general solution. y(4)-8y(3)+16y(2)=0 r 4 — 7V3 4' ‘6V 2 :- O (1<(Z-?r 444330 {Z ((—%3((flq> ‘20 :u :2 (1&ka ( )k 3.)(10)From the following general solution, write its D.E.: y(x)=[(C1+xC2)cos3x + (C3+xC4)sin3x] ...
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math244 quiz4 wint05 - Quiz 4 Math 244 Wi 05 Name u t -- .4...

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