(1 pt) Consider the initial value problem my" +cy' + ky = F(t), y(0) = 0, '(0) = 0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m = 2 kilograms, C = 8 kilograms per second, k = 80 Newtons per meter, and F(t) = 20 sin(6+) Newtons. 1. Solve the initial value problem. y(t)= help (formulas) 2. Determine the long-term behavior of the system. Is lim y(t) = 0? If it is, enter zero. If not, enter a function that approximates y(t) for very large positive values of t. For very large positive values of t, y(t) zero t→∞ help (formulas)