40. An elastic string is stretched between x = 0 and x =l and is initially at rest in the equilibrium position. Show that the Laplace transform solution for the displacement field subject to the...

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Extracted text: 40. An elastic string is stretched between x = 0 and x =l and is initially at rest in the equilibrium position. Show that the Laplace transform solution for the displacement field subject to the boundary conditions y (0, t) = f (t) and y (1, t) = 0, t > 0 is sinh { (1 – x)} y (x, 8) = F (s) sinh