Question: 2. In each case, use the d'Alambert formula for the wave equation u(x, t)tt = u(x, t) xx to find the solution for the given

2. In each case, use the d'Alambert formula for the wave equation u(x, t)tt = u(x, t) xx to find the solution for the given initial conditions. Let h(x) be defined as follows: x E (-0o, -1] x+1 h(x) = x E (-1, 0] x+1 x e (0,1] x E (1, 0.) a. u(x,0) = h(x), ut(x, 0) = 0, b. u(x, 0) = 0, ut (x, 0) = h(x)

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