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1. Solve the unsteady vibrations of the membrane on a circular drum. The membrane displacement satisfies the wave equation
   
   The boundary condition at the edge is
   
   For initial condition, assume that the membrane is struck at the point r=0.5 and . In other words assume that and that is a delta function at r=0.5 and , so that
   
   for any function . What frequencies will be present in the vibrations, and with what relative strength?