Use the method of undetermined coefficients to solve the differential equation.y'' - 6y' + 13y = 2e-4x

A. y = e^3x(C₁ cos 2x + C₂ sin 2x) + e^-4x
B. y = C₁e^3x + C₂e^2x + e^-4x
C. y = e^3x(C₁ cos 2x + C₂ sin 2x) + e^-4x
D. y = C₁ cos 3x + C₂ sin 2x + e^-4x

Answer: A

Mathematics

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