Classes of second order nonlinear differential equations reducible to first order ones by variation of parameters

2009/02/24 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Pascal Alain Dkengne Sielenou +1
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.CA

paper · pdf · doi:10.48550/arxiv.0902.4175

arxiv created 2009/02/24 · openalex publication_date 2009/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The method of parameter variation for linear differential equations is extended to classes of second order nonlinear differential equations. This allows to reduce the latter to first order differential equations. Known classical equations such as the Bernoulli, Riccati and Abel equations are recovered in illustrated relevant examples.

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