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 ) = 0 , u t ( r , 0 ) = g ( r ) , 0 ≤ r ≤ 1 .

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Chapter 11.5, Problem 2P

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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)=0,ut(r,0)=g(r),0≤r≤1.

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