Solved: In each of 13 through 18, write the solution of the problem utt = ux x for < x

Chapter 16, Problem 16.53

(choose chapter or problem)

In each of 13 through 18, write the solution of the problem utt = ux x for < x 0 and u(x, 0) = f (x), ut(x, 0) = 0 for < x < as a sum of a forward and a backward wave. Graph the initial position function and then graph the solution at selected times, showing the wave as a superposition of a wave moving to the right and a wave moving to the left.f (x) = cos(x) for /2 x /2 0 for |x| >/2

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