Consider the wave equation utt - uxx = 0 with
u(x, 0) = f(x) = 1 if-1ut(x, 0) = ?(x) =1 if-1Sketch snapshots of the solution u(x, t) at t = 0, 1, 2 with justification (Hint: Sketch the response to the initial velocity and initial position sep- arately and then add. There’s no need to find an explicit formula but you should provide justification.)