a. Find the general solution of the mass-spring system with spring constant 6 and damping constant 5.
b. Find the solution of the above mass-spring system that starts at y(0) = 0 with y'(0) = 1.
c. Sketch both the graph of y(t) and the corresponding curve (y(t), v(t)) in the phase plane.
d. Explain in words what actually happens to this mass as time unfolds.