Answer to Question #308494 in Differential Equations for Kashi

Question

A 2 lbs of weight is attached to a lower end of the suspended spring in a medium with negligible resisting force. The spring has a spring constant of 18 lb/ft. The weight comes to rest in its equilibrium position. At t = 0 an external force of f(t) = 6 tan(3t) is applied to the system. Determine the resulting motion of the system.