On the Lie Symmetries of First-Order Ordinary Differential Equations

Abstract

In this work, we consider first-order ordinary differential equations which have no systematic way to find their Lie symmetries unlike higher order differential equations. Our aim is to use second-order ordinary differential equations derived from the first-order ordinary differential equations in order to resolve this important deficiency for the first-order ordinary differential equations. Before we mention about finding the Lie symmetries of the ordinary differential equations briefly. Later on we present some of the examples related with the subject. © 2013 AIP Publishing LLC.