Consider a circular drum head or membrane, which may vibrate but is fixed everywhere along its edge. If Y(r, phi, t) describes the motion of the membrane, and the wave equation tells us that (1/v^2) d^2Y/dt^2 = del^2(Y(r, phi)), where v is some constant, then use the method of separation of variables to find the general description of its motion. What is the lowest frequency of vibration?

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