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 with u(x,t) - Find the solution to 1D wave propagation, including the coefficients in the final expression for displacement, under the initial conditions: u(x, 0) = 0.1(L -I), du(x, 0) 0 at Find the solution to 1D wave propagation, including the coefficients in the final expression for displacement, under the initial conditions: du(x, 0) 1 m/s for T E (0.2 m, 0.3 m) u(x, 0) = 0, -1m/s for at T E (0.7 m, 0.8 m) 0 otherwise