Solve the given differential equation. (The form of yp is given.)D2y + 25y = 3 sin 5x (Let yp = Ax sin 5x + Bx cos 5x.)

A. y = c1 sin 5x + c2 cos 5x + x cos 5x
B. y = c1 sin 5x + c2 cos 5x - x sin 5x + x cos 5x
C. y = c1 sin 5x + c2 cos 5x - x cos 5x
D. y = c1 sin 5x + c2 cos 5x - x sin 5x

Answer: C

Mathematics

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