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Since the one-dimensional wave equation is a PDE with second order in both time and special coordinates, a total of 4 initial and boundary conditions are required for the solution of the differential equation. The two boundary conditions are. u(0,t) = 0, for t ( 0 (1.5-3a) and. u(L,t) = 0, for t ( 0 (1.5-3b) ................
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