2013•arXiv (Cornell University)Open access

A reformulation of an ordinary differential equation

Oscar A. Barraza

Abstract

The purpose of this note is to present a formulation of a given nonlinear ordinary differential equation into an equivalent system of linear ordinary differential equations. It is evident that the easiness of a such procedure would be able to open a new way in order to calculate or approximate the solution of an ordinary differential equation. Some examples are presented.

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Key concepts: Ordinary differential equation, Exact differential equation, Bernoulli differential equation, Integrating factor, Mathematics, Linear differential equation, Differential equation, Mathematical analysis