Suppose that the system of is modified to include a damping term and that the resulting
Chapter 3, Problem 25(choose chapter or problem)
Suppose that the system of is modified to include a damping term and that the resulting initial value problem is u + 1 5u + u + 1 5u3 = cos t, u(0) = 0, u (0) = 0. (a) Plot a computer-generated solution of the given problem for several values of between 1/2 and 2, and estimate the amplitude R of the steady response in each case. (b) Using the data from part (a), plot the graph of R versus . For what frequency is the amplitude greatest? (c) Compare the results of parts (a) and (b) with the corresponding results for the linear spring.
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