Vibrations. CAS EXPERIMENT. Undamped (a) Solve the initial value problem y" + y = cos wt, w = 1, y(0) = 0, y'(0) = 0. Show that the solution can be written 2 2 y (t) sin [(1 + w)t] sin [(1 w)t]. 1-w (b) Experiment with the solution by changing w to see the change of the curves from those for small w (0) to beats, to resonance, and to large values of W