Suppose that a fourth order differential equation has a solution y = -8e4x cos(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Enter the derivatives as y', y", ... (b) Find the general solution to this differential equation. help (equations) In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc.