Question: (a) Find a second-order homogeneous linear ODE for which the given functions are solutions. (b) Show linear independence by the Wronskian. (c) Solve the initial

(a) Find a second-order homogeneous linear ODE for which the given functions are solutions.

(b) Show linear independence by the Wronskian.

(c) Solve the initial value problem.

cos 5x, sin 5x, y(0) = 3, y' (0) = -5

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