Problem 2 (10 points) Solve the dam break problem, that is, the wave equation Utt Uxx = 0, x ¤ R, t > 0, u(x,0) = f(x), x ≤ R, ut(x, 0) = 0, x ≤ R. where ƒ(x) = = [1, x ≥ 0, 0, x < 0. 1/2, 1. Include the graphs in your work. Sketch the solution u(x, t) as a function of x for t =

Fig: 1