Arezki KESSİ, Toufik LAADJ, Moussa YAHİ

On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem

In this paper we give the general solutions of a class of first order nonlinear Fuchs ordinary differential equations. This leads us to show by an example that the necessary conditions of Fuchs' theorem are not sufficient.

Keywords:

Fuchs, movable critical points, sufficient conditions,

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