Solve the given differential equation. (The form of yp is given.)36D2y - y = sin x (Let yp = A sin x + B cos x.)

A. y = c1ex/6  + c2e-x/6 - sin x + cos x
B. y = c1ex/6  + c2e-x/6 - sin x
C. y = c1ex/6  + c2e-x/6 + sin x
D. y = c1ex/6  + c2e-x/6 - cos x


Answer: B

Mathematics

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Mathematics