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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
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