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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:3
On the integration of first order nonlinear differential equations and the conditions of Fuchs` theo...

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

Authors : Arezki KESSİ, Toufik LAADJ, Moussa YAHİ

Pages : 347-353

Doi:10.31197/atnaa.1059343

View : 13 | Download : 12

Publication Date : 2022-09-30

Article Type : Research Paper

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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