Exactness of Second Order Ordinary Differential Equations and Integrating Factors

2014/09/06 by Rami AlAhmad, AlAhmad, R., Mohammadkheer Al-Jararha +3
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

paper · pdf · doi:10.48550/arxiv.1409.2059

openalex publication_date 2014/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new problem is studied, the concept of exactness of a second order nonlinear ordinary differential equations is established. A method is constructed to reduce this class into a first order equations. If the second order equation is not exact we introduce, under certain conditions, an integrating factor that transform it to an exact one.

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