Use the general solution derived in this section to prove

Chapter 16, Problem 16.61

(choose chapter or problem)

Use the general solution derived in this section to prove the plausible fact that the center of the membrane remains undeflected for all time if the initial displacement is an odd function of (that is, f (r,) = f (r, ). Hint: The only integer order Bessel function that is different from zero at r = 0 is J0.

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