We have a mass-spring system as as described on page 96 of the text. The mass, m, is 1 slug, the spring constant, k, is 1 lb/ft and the damping constant, c, is 2 lb-sec/ft. We move the spring 3 inches (=1/4 ft) to the right (positive direction) and release with no initial velocity.

a) Write down a second order linear homogeneous differential equation with initial conditions that describes this situation.