Solve the given differential equation. (The form of yp is given.)D2y - 3Dy = -3ex + xex (Let yp = Aex + Bxex .)

A. y = c₁ + c₂e^3x + e^x - xe^x
B. y = c₁ + c₂e^3x - e^x - xe^x
C. y = c₁ + c₂e^3x + e^x + xe^x
D. y = c₁ + c₂e^3x - e^x - xe^x

Answer: A

Mathematics

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