Mathematics

9 March, 13:12

Consider an elastic string of length L. The end x = 0 is held fixed, while the end x = L is free; thus the boundary conditions are u (0, t) = 0 and u_x (L, t) = 0. The string is set in motion with no initial velocity from the initial position u (x, 0) = f{x), where f (x) = {1, 0, L/2 - 1 2), otherwise. Find the displacement u (x, t).

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