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q7a - [AMSM/W QUIZZ 7 MATH 2233 SECTION 2 SPRING 2011...

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Unformatted text preview: [AMSM/W QUIZZ 7 MATH 2233 SECTION 2, SPRING 2011 INSTRUCTOR: WEIPING LI Print Name and Student # SHOW WORK FOR CREDIT H! SHOW WORK FOR CREDIT H! (1') (10pts) Use the method of reduction of order to find a second solution of the given differential equation w‘ .r’ ’2- 320“ 5 CH?) ‘ t if [(f) r*C/(tf t “‘ C“) '6 b/FrOCJQEfVW/e _' -Z —3 Mt) = C7%) t ' 2C“) t + Z CWT + Ct-t) t =1 0 tea) + C’ue) = 0 Let await), nig=ccfl ’ — d” — I. _ __dt fuct)+W’c)*0-:)'ET;+M~O => .1?» T mm ,, A: ____ {M l —t 37' It Mt, JC [WE]. ME HM“, C/Lt) : («LL-t) = t . 3’ VI . “I 32bit); {wt ' It v WEIPING LI (2) (5pts) Find the general solution of the given differential equation y" — 2y, + 10y = 0. ’v \, [CHM vim/+10: O Charfldrfl'sm Eta“ _(—2_)iJ(—z)"-4_./0 :zif'gg QmJ/r "C fam'ia If: ‘1 a = [:55 '1‘: . 5|; efCasa‘t Hz: 8. Swrs't‘ 't— \ 3 - Cl fifcmg't + C2 6, 29.451" 5/ (3) (5pts) Solve the inital value problem 9y” + 121/, + 4y = 0, y(0) : a > 0, 111(0) 2 —1. 2— y_ -/2 i: //z'4'7-¢ :_ __5~ , / _ ,z'it— "$17 ~3- “lv (0)*Cu 3’63 +Ca€ ‘Catégs‘v EC'JPCL Ca=§Q”( ...
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