Solve the given differential equation. (The form of yp is given.)D2y - 4y = e-2x  (Let yp = Axe-2x.)

A. y = c1e-2x  + c2e2x  + xe-2x
B. y = c1e-2x  + c2e2x  - xe2x
C. y = c1e-2x  + c2e2x  - xe-2x
D. y = c1e-2x  + c2e2x  - xe-2x

Answer: C

Mathematics

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