In Problem 19 through 23, we explore the effect of some nonsinusoidal periodic forcing functions :
Consider the initial value problem
Where
Observe that this problem is identical to problem 19 excepts that the frequency of the forcing terms has been increased somewhat.
a) Find the solutions of this initial value problem.
b) Let
c) From the graph in part (b), estimate the “slow period” and the “fast period” for this oscillator.
d) For a sinusoidally forced oscillator, it was shown in Section 4.6 that the “slow frequency” is given by
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