3. Suppose that you have a spring mass system. The mass on the system is 1 g. The spring mass constant is 25. In this situation there is no damping, but

there is an external force acting on the system that is modeled by the function, F(t) = 75 cos 5t. Construct the differential equation for the spring mass system and then solve for y(t). a. In this situation, is there resonance? Explain how you know. b. Suppose that you let the spring mass continue to oscillate for a very long time, give a function that models the movement after this very long time t (e.g. find the steady state of the system).