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A 64 lb weight is attached to a spring causing it to stretch 3 inches and...

A 64 lb weight is attached to a spring causing it to stretch 3 inches and then comes to rest in the equilibrium position. The damping force is equal to 3 times the instantaneous velocity. Starting at t = 0 an external force of 3cos(12t) applied to the system. Find the steady state solution for the system

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