Find the solution.

Suppose a mass of 1 kg is attached to a spring with constant 4 N /m and an external force of cos(wt) is applied by a motor attached to the system. Assume that there is no damping and that the mass is released from the equilibrium position and with a zero initial velocity. (a) Write the ODE modelling the motion of the mass and solve it for the two cases where w : 1.8 and w = 2. (b) Use a graphing calculator and plot the two solutions you found in part (a) on the interval t E [0, 201T] and :5 E [3, 3]. Include a picture of the two plots with your submission