A certain mass-spring-damper system has the following equation of motion. Suppose that the initial conditions are zero and that the applied force f (t) is a step function of magnitude 5000. Solve for...

A certain mass-spring-damper system has the following equation of motion.

Suppose that the initial conditions are zero and that the applied force f (t) is a step function of magnitude 5000. Solve for x(t) for the following two cases: (a) c = 680 and (b) c = 400.