Consider the vibrating system described by the initial value problem u__ + u = 3 cos(t)

Chapter 3, Problem 14

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Consider the vibrating system described by the initial value problem u__ + u = 3 cos(t), u(0) = 1, u_(0) = 1. a. Find the solution for _= 1. G b. Plot the solution u(t) versus t for = 0.7, = 0.8, and = 0.9. Compare the results with those of 13; that is, describe the effect of the nonzero initial conditions. G

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