Solve the given differential equation. (The form of yp is given.)D2y - 25y = e-5x (Let yp = Axe-5x.)
A. y = c1e-5x + c2e5x - xe5x
B. y = c1e-5x + c2e5x + xe-5x
C. y = c1e-5x + c2e5x - xe-5x
D. y = c1e-5x + c2e5x - xe-5x
Answer: C
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