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December 14th, 2010, 01:47 PM   #1
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Integrating Factor for Exact Equations

Studying for exams and I'm pretty much stuck on this subject...one of the problems I've been working on is:

Find an integrating factor and then solve the given equation

(3yx^(2) + 2xy +y^2)dx + (x^2 + y^2)dy=0

I know how to solve these types of equations if M and N are exact, but I need help finding the integrating factor since they are not in this example. The two equations I've been using are (M sub y - N sub x)/N or (M sub y - N sub x)/(-M). Maybe my brain is just fried and I'm missing something really simple, but once I use one of those equations I can't simplify the answer so that its in terms of one variable.
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