On the Lie Symmetries of First-order Ordinary Differential Equations
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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