A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Ini- tially the mass is released 1 ft below the equilibrium position with a downward velocity of 5 ft/s, and the subsequent motion takes place in a medium that offers a damping force numerically equal to 2 times the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to f(t)= 12 cos 2t + 3 sin 2t. transient solutions.

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