Show that the Ansatz u(x, t) = sin(x) sin(ct) is a solution of the equation c 2 uxx = utt with the boundary conditions u(0, t) = 0 = u(, t).

2. Show that the Ansatz ux, t) = sin(x) sin(ct) is a solution of the equation curr = utt with the boundary conditions u(0,t) = 0 = u(T,t). 2. Show that the Ansatz ux, t) = sin(x) sin(ct) is a solution of the equation curr = utt with the boundary conditions u(0,t) = 0 = u(T,t)