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Integrating factor. (English) Zbl 0814.34002
Summary: The problem of integrating factor for ordinary differential equations is investigated. Conditions are given which guarantee that each solution of $$\partial_ 1 F(x,y) + y'\partial_ 2 F(x,y) = 0$$ is also a solution of $$M(x,y)+ y' N(x, y)= 0$$ where $$\partial_ 1 F= \mu M$$ and $$\partial_ 2 F= \mu N$$.

##### MSC:
 34A05 Explicit solutions, first integrals of ordinary differential equations
##### Keywords:
integrating factor
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