A mass weighing 16 pounds stretches a spring 4 feet. The mass is initially released from rest at a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that gives a damping force numerically equal to two times the instantaneous velocity. Find the equation of motion if the mass is driven by an external force f (t) = 4 cos 3t.

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Q: A mass weighing l16 pounds stretches a spring feet. The mass is initially released from rest from a…

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A: Here is the Answer and Explanation

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Exponential Growth Model

The relation that represents an exponential function is: