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M(x,y) + N(x,y)(dy/dx) = 0

f'(xy) = G(xy)f(xy) where G(xy) = (N_{x}- M_{y})/(xM - yN)

Replace xy with a single variable to obtain a simple 1st order differential equation and find f(xy).

I got to:

ln|f| = Integral(G(xy)) by seperating the variables

But I am unsure how to integrate G(xy) with respect to a single variable.

Any Suggestions?

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# Homework Help: First-Order integrating factor of the form f(xy)

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