Consider the initial value problemy+ 0.1y+ y = f(t), y(0)

Chapter 6, Problem 20

(choose chapter or problem)

Consider the initial value problemy+ 0.1y+ y = f(t), y(0) = 0, y(0) = 0,where f(t) is the same as in 19.(a) Plot the graph of the solution. Use a large enough value of n and a long enought-interval so that the transient part of the solution has become negligible and the steadystate is clearly shown.(b) Estimate the amplitude and frequency of the steady state part of the solution.(c) Compare the results of part (b) with those from Section 3.8 for a sinusoidally forcedoscillator.

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