Assume that the circular membrane of Example 2 has initial
Chapter , Problem 2(choose chapter or problem)
Assume that the circular membrane of Example 2 has initial position u.r; 0/ D 0 and initial velocity ut.r; 0/ D v0 (constant). Derive the solution u.r; t / D 2cv0 a X1 nD1 J0. nr=c/sin. nat=c/ 2 nJ1. n/ ; where f ng 1 1 are the positive roots of J0.x/ D 0.
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