Solve the given differential equation. (The form of yp is given.)25D2y - y = sin x (Let yp = A sin x + B cos x.)
A. y = c1ex/5 + c2e-x/5 - sin x
B. y = c1ex/5 + c2e-x/5 - cos x
C. y = c1ex/5 + c2e-x/5 + sin x
D. y = c1ex/5 + c2e-x/5 - sin x +
cos x
Answer: A
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