Question: 1D wave equation. String length: L=1m, pinned at its ends: x=0 and x=L Tension in string, T=10N Linear density of material: 0 = 0.5kg/m Denote

1D wave equation. String length: L=1m, pinned at its ends: x=0 and x=L Tension in string, T=10N Linear density of material: 0 = 0.5kg/m Denote the displacement of the points of the bar u(x,t) Find the solution to the problem of 1D wave propagation under the initial conditions shown below. Please show all steps, with clear writing, and also clearly (and separately) state the coefficients of the final expression for the displacement. u(x, 0) = 0.1x (L - I), du(x, 0) = 0 at Note: I believe the answer to this question is shown below, please verify and show steps. 0.4 - 0.4(-1)n 3_3 An= n TT Bn=0

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