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

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- May 15th 2014, 04:02 AM #1

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- May 15th 2014, 05:02 AM #2

- May 15th 2014, 05:31 AM #3

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## 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!