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March 14th, 2012, 05:28 AM   #1
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Integrating factor question

Hey,

I just wanted to double check if my logic is correct for solving this question i've been working on,
The question states for the exact equation,




So first I set u(x,y)=z some arbitrary function
then


after going through the steps to satisfy an exact equation, I end up with


so is it enough to say that by comparison with S,



so u is a function of xy.

Does that seem like the right approach to solve this question?

Thanks in advance.
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March 16th, 2012, 08:10 PM   #2
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That's not quite right. Both S and ? should be functions of n only, where n = xy, rather than arbitrary functions of x and y.

If p and q happen to be polynomials, see also the approach I sketched here.
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