In each of 1 through 6, solve the wave equation on the real line for the given initial

Chapter 16, Problem 16.24

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In each of 1 through 6, solve the wave equation on the real line for the given initial position f and initial velocity g, first by separation of variables and the Fourier integral, and then by using the Fourier transform. The same solution should result from both methods.c = 8, g(x) = 0, and f (x) = 8 x for 0 x 8 0 for x < 0 and for x > 8.

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