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Find a homogeneous fourth-order linear differential equation with constant coefficients that has y(x) = 5x e^(x) sin(3x) as a solution. Explain how you found it.

Find a homogeneous fourth-order linear differential equation with constant coefficients that

has y(x) = 5x e^(x) sin(3x) as a solution. Explain how you found it. What is the general solution of the

differential equation?

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