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A force of 64 pounds stretches a spring 4 feet. A mass of 4 slugs is...

A force of 64 pounds stretches a spring 4 feet. A mass of 4 slugs is attached to the spring and is initially released from rest 2 feet below the equilibrium position. (a) Suppose the spring has a damping force equal to 16 times the instantaneous velocity and is being driven by an external force, ?(?) = 4 cos(5?) . Write the IVP that this problem describes. (3 pts) (b) Solve the equation in part (a) to obtain the equation of motion of the mass. Use exact fractions to report. Do not use decimals

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