Consider the forced vibration of a single-degree-of-freedom system, the differential equation is: mx + cx + kx =f(t) where m, c and k are the mass, damping and stiffness coefficients of the system; x is the displacement of the system as a function of time, t; and f (t) is the forcing function of the system. Given that the mass, m, is equal to 1000 kg, and the stiffness, k, is equal to 2000 N/m. If the forcing function is given by (with unit N): f (t) = 500 cos V5 t and the system is started from rest (i.e., x(0) = x(0) = 0), determine the displacement x of the system as a function to time, t, when the damping condition is: a) Undamped, therefore, c = 0; and b) Damped with c = 2000 kg/s