Could anyone check my attached work. Mathematica seems to output u(x,y)=-3+2x for the particular solution...
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If we parametrize x and y we have
Now if we take the derivative with respect to s we have
This gives the system of equations
Solving this gives
Now if we sub out
Here's your mistake
First let so . If then so so (your Mathematica and TheEmptySet's solution)
I like this alternative method, TheEmptySet. Thanks
Last edited by bugatti79; May 6th 2011 at 12:52 AM.