Vol. 5, Issue 12, Part F (2019)

Abstract
Ordinary Differentia Equations (ODE) play an important role in various fields including weather forecasting, growth models, decay of radioactive substance among others. ODE are solved by integration and reducing their order. This reduction takes them to first order. Homogeneous differential equations are one of the most used first order differential equations. There are different methods of solving such equations. Symmetry method of solving ODE is given by Sophus Lie. This method is based on finding symmetries of an equation. These symmetries are point transformations under which the original equation remains invariant. In present work, this method is applied to homogeneous differential equation and is explained with the help of an example.