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q1a - VIM/0V QUIZZ 1 MATH 2233 SECTION 2 SPRING 2011...

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Unformatted text preview: VIM/0V QUIZZ 1 MATH 2233 SECTION 2, SPRING 2011 INSTRUCTOR: WEIPING LI Print Name and Student #— SHOW WORK FOR CREDIT !!! SHOW WORK FOR CREDIT H! (1) (5pts) Determine the order of the given differential equations and also state whether the equation is linear or nonlinear. izg+sin(t+y)=sint. 2’01 WM} Nm’JlHed/Y dt2 d2 dy _ . ml . 252$ +ta+2y251nt Z O’YCIQA’) [”48” (2) (5pts) Determine the value 7“ for the given equation has solutions of the form 3/ = e”: y” —3y' +2y = 0. 5' art y/fiTE’ft) 31/; rleY't— 2 WEIPING LI (3) (10pts) Verify that each given function is a solution of the differential equation. 7:21;" + Sty' + 4y = 0, t > 0; y1(t) = t4, y2(t) =t'21nt. Hence; 100% & mac! y; are; SDKMJHWLS affix Aifiew'i’lafl TMAZQI’M. ...
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