In Problems 1-12 proceed as in Example 1 to solve the given boundary-value problem.
10. 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) satisfies
where g is the acceleration of gravity. Solve for u(x, t).
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Differential Equations with Boundary-Value Problems (MindTap Course List)
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