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

Year 2022, Volume: 6 Issue: 3, 347 - 353, 30.09.2022

Arezki Kessi Toufik Laadj , Moussa Yahi

https://doi.org/10.31197/atnaa.1059343

Abstract

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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