Full answer: Consider an elastic string of length L whose ends are held fixed. The

Chapter 10, Problem 5

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Consider an elastic string of length L whose ends are held fixed. The string is set in motion from its equilibrium position with an initial velocity ut(x, 0) = g(x). In each of 5 through 8 carry out the following steps. Let L = 10 and a = 1 in parts (b) through (d). (a) Find the displacement u(x, t) for the given g(x).(b) Plot u(x, t) versus x for 0 x 10 and for several values of t between t = 0 and t = 20.(c) Plot u(x, t) versus t for 0 t 20 and for several values of x.(d) Construct an animation of the solution in time for at lea

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