A string initially at rest on the x-axis is secured on the

Chapter 12, Problem 12.1.108

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A string initially at rest on the x-axis is secured on the x-axis at x 0 and x 1. If the string is allowed to fall under its own weight for t 0, the displacement u(x, t) satisfie where g is the acceleration of gravity. Solve for u(x, t).

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