Partial Differential Equation Boundary Conditions
Solve the following problem:
Find the general solution of the wave equation U(tt) = U(xx) subject to the boundary conditions u(0,t) = u(1,t) = 0.
Then find the unique solution of the wave equation subject to the initial conditions:
u(x,0) = 2sin3pix and ut(x,0) = 5 sinpix