Please answer the following question and show steps.

9. (15 pts.) A mass of 200 g stretches a spring 8 cm. Suppose that the mass is also attached to a viscous damper with a damping constant of 100 g/ s. If the mass is pulled down 3 cm and then released1 set up the initial value problem for u(t) at any time t 2 0, where u(t) is displacement of the mass from equilibrium position, with positive direction pointing downward. Use kg and m, rather than g and cm (respectively). Do NOT solve the differential equation. Do NOT forget to state the initial conditions