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Consider the undamped spring equation y'' + cy = sin(2t). (a) For what value of c...

Consider the undamped spring equation

y'' + cy = sin(2t).

(a) For what value of c does resonance occur? Compute the solution at resonance with y(0) = 1 and y' (0) = 0.

(b) For what values of c is there a beat with frequency 0.1 Hz? (The beat frequency is defined as (|µ-w|)/2 where µ is the natural frequency of the spring and ! is the forcing frequency.)

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