>) Suppose that a fourth order differential equation has a solution y = 8e³x sin(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. r Jat! (b) Find the general solution to this differential equation. In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and the independent variable. Enter c₁ as c1, c₂ as c2, etc.

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