Mathematical Physics

    

Exact Solution of Some Non-Autonomous Nonlinear ODEs of Second Order

Authors: E. A. Doutètien, K. K. D. Adjaï, M. D. Monsia

This paper shows the exact integrability analysis of two classes of non-autonomous and nonlinear differential equations. It has been possible to recover some equations of general relativity from the first class of equations and consequently to compute their solution in fashion way. The second class is shown to include the Emden-Fowler equation and its integrability analysis, performed with the first integral theory developed by Monsia et al. [16] allowed to compute the exact solution of some subclasses of Emden-Fowler equations.

Comments: 10 pages

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Submission history

[v1] 2020-12-28 11:18:23

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