Question: Solve the wave equation u tt = u xx , with homogenous Dirichlet boundary conditions u(x = 0, t) = 0, u(x = , t)

Solve the wave equation u_tt = u_xx, with homogenous Dirichlet boundary conditions u(x = 0, t) = 0, u(x = , t) = 0, and initial conditions u(x, t = 0) = (x (/2) ) and u_t(x, t = 0) = 0. Check your answer by plotting the solution for t = 0. Gain some intuition about the problem by plotting the solution for t = 1 and t = 2.

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