Solved: Find the displacement u(r, t) in a vibrating circular elastic membrane of radius

Chapter 11, Problem 3

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Find the displacement u(r, t) in a vibrating circular elastic membrane of radius 1 that satisfies the boundary condition u(1, t) = 0, t 0, and the initial conditions u(r, 0) = f (r), ut (r, 0) = g(r), 0 r 1, where f (1) = g(1) = 0.

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