How to Find an Integrating Factor for an Inexact Differential Equation?

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heinerL
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Hello

I'm trying to solve the following DGL with an integrating factor:

[tex]x'=xg(y)[/tex]
[tex]y'=yh(x)[/tex]

which is equivalent to [tex]-yh(x)dx+xg(x)dy=0[/tex] which is an inexact dg?

How to i find an integrating factor in this case?

thx
 
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