The motion of a circular elastic membrane, such as a drumhead, is governed by the
Chapter 10, Problem 21(choose chapter or problem)
The motion of a circular elastic membrane, such as a drumhead, is governed by the two-dimensional wave equation in polar coordinates urr + 1 r ur + 1 r2 u = a2utt . Assuming that u(r, , t) = R(r)( )T (t), find ordinary differential equations satisfied by R(r), ( ), and T (t).
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