When you have a DiffEQ in the form Mdx + Ndy = 0 and you want an exact solution, sometimes you need to multiply by an integration factor p(x,y). The book tells me that the integration factor will either be p =(x^m)(y^n), p = f(x) or p = f(y) and then it gives me the procedure used to solve for all of these cases. Very straightforward.(adsbygoogle = window.adsbygoogle || []).push({});

But how besides insight or guess and check can I decide which type of integration factor to use?

Are there any tricks, rules or patterns?

Let me know if I should clarify further.

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# Finding an exact solution using an integration factor

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