I do not know if I am doing it correct.

\f1. Use d'Alembert's solution of the wave equation to find the solution of azu a zu 2x2 at 2 (t 20, x 20) au(0,t) au(0,t) = a at ax (t20) u(x,0) = do(x) au at (x,0) = $1(x) where a # - 1 is a constant and do(x) and d,(x) are twice continuously differ- entiable for x > 0 and vanish near x = 0. Show that in general no solution exists when a = -1