(a) Find constants A and B such that yp.x/ D A sin x C B

Chapter , Problem 32

(choose chapter or problem)

(a) Find constants A and B such that yp.x/ D A sin x C B cos x is a solution of dy=dx C y D 2 sin x. (b) Use the result of part (a) and the method of to find the general solution of dy=dx C y D 2 sin x. (c) Solve the initial value problem dy=dx C y D 2 sin x, y.0/ D 1.

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