1. ## PDE Question...

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.

Thanks!

2. Originally Posted by jkhayer
Solve the PDE:

3 Ux - 4 Uy = 0

If the initial condition is: u(x,y) = sin(x) on 2x + y = 1 Mr F says: The function below satisfies the PDE. But how can you have an initial condition when there is no time dependence in the given PDE?

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.

Thanks!
..

3. Originally Posted by jkhayer
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.

Thanks!
$