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Pr the elgange f( Math 476, Homework 1 Due August 25, 1lam 1. Solve the initial value problem. On what interval, if any, is the

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Pr the elgange f( Math 476, Homework 1 Due August 25, 1lam 1. Solve the initial value problem. On what interval, if any, is the edW ( initial value problem guaranteed a unique solution? dy = (1 +y?) tanx; y(0) = V3odw .(1'| bail () dx soob dimill add It Show He metwords well oudoyle estil amwollot add otsulevel .& moldon't Jon esop of ww malqxe bus AVI stirw nodt Jaiye Jon 1+ 38+ 828 (ch) 2. Determine an interval for which a unique solution to the IVP ex- ists. Solve the IVP. ALL () dy + y sin x = 2x cos x; y (" (-15V/2) 17 2 (cos x) da 32 ful (b) mil () missions mil (1) to boord our s. tol addies I novo " noidafugug all swore ifwollot sT . moldon bolles) esys on doiw dai 3. Solve the following IVPs. If no initial value is given, find a general solution to the differential equation, using c1, ..., On for constant multiples of fundamental solutions. (1)4 ( a) y" - by' + 9y = 0; y(0) = 2, y'(0) =- 25 3 moldon moroodT susound . 1 slade (a)

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