Vibrations. CAS EXPERIMENT. Undamped (a) Solve the initial value problem y + y = cos wt,...

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Vibrations. CAS EXPERIMENT. Undamped (a) Solve the initial value problem y" + y = cos wt, w² = 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-w² (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 Vibrations. CAS EXPERIMENT. Undamped (a) Solve the initial value problem y" + y = cos wt, w² = 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-w² (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

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Solution Step 1 The equation of motion is given as With initial value... View the full answer