solve: Uxy = -Ux using indicated transformation v=x and z=x+y

Results 1 to 3 of 3

- May 15th 2014, 03:02 AM #1

- Joined
- Jul 2013
- From
- kathmandu
- Posts
- 15

- May 15th 2014, 04:02 AM #2

- May 15th 2014, 04:31 AM #3

- Joined
- Apr 2005
- Posts
- 19,247
- Thanks
- 2837

## Re: PDE please help!!

I agree with Prove It. The equation, as given, can be directly integrated while making the "indicated transformation" gives a much harder equation!

But if you must transform, use the fact that, for any function, F(x,y), and

So, letting , and, letting , .

The equation becomes .

As Prove It said, the original equation is much easier to solve than the transformed equation!