Part a: Let y(t) be the position of the mass at t. Write down a differential equation for y(t). Do not forget the initial value.

Part b: Find the general solution of the differential equation in Part (1). No need to plug in the initial value to figure out the constants. Hint: You might need to use the method of variation of parameters. If this computation is long, please be patient. You might need to use

A mass that weighs 8 lb stretches a spring 96 in. The system is acted on by an external force of tan(2t) lb at 0