Integrating Factor and First Integrals of a Class of Third Order Differential Equations

2017/06/19 by Al-Jararha, Mohammadkheer
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.06199

Abstract

The principle of finding an integrating factor for a none exact differential equations is extended to a class of third order differential equations. If the third order equation is not exact, under certain conditions, an integrating factor exists which transforms it to an exact one. Hence, it can be reduced into a second order differential equation. In this paper, we give explicit forms for certain integrating factors of a class of the third order differential equations.

Related

• Integrating Factors and First Integrals for a Class of Higher Order Differential Equations
• Exactness of Second Order Ordinary Differential Equations and Integrating Factors
• A family of singular ordinary differential equations of third order with an integral boundary condition
• First integrals of ordinary difference equations which do not possess a variational formulation
• First integrals of ordinary linear differential systems