Solve the PDE:
3 Ux - 4 Uy = 0
If the initial condition is: u(x,y) = sin(x) on 2x + y = 1
I got a solution of: u(x,y) = (sin(-4x-3y) + 3) / (2)
...I just want to confirm that this is correct, I did try the check by calculating Ux and Uy and subbing them into the original equation and equating it to zero, but I just want to be 100% sure.