Paper Title:

On Finding Integrating Factors and First Integrals for a Class of Higher Order Differential Equations

Author(s):

Mohammadkheer M. Al-Jararha

Department of Mathematics,
Yarmouk University,
Irbid, 21163,
Jordan.
E-mail: mohammad.ja@yu.edu.jo

Abstract:

If the $n-th$ order differential equation is not exact, under certain conditions, an integrating factor exists which transforms the differential equation into an exact one. Thus, the order of differential equation can be reduced to the lower order. In this paper, we present a technique for finding integrating factors of the following class of differential equations:
 

Here, the functions F₀,F₁,F₂, …,F_n are assumed to be continuous functions with their first partial derivatives on some simply connected domain Ω ⊂ Rⁿ⁺¹. We also presented some demonstrative examples

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