Vol. 6, Issue 6, Part F (2020)

Abstract
In applied Mathematics, differential equations are used to describe processes where dependence of a variable on other variables is not explicitly given rather the variable is given to be related to other variables in terms of rate of change. In such cases we need to integrate given equation so as to find function which describes the relationship between dependent and independent variables. There are various methods of finding this relationship. Lie symmetry method is based on finding transformations which help to reduce the complexity of given equation and transform the same to equation with lesser complexity. The transformed equation is then solved with usual methods and the solution is again transformed back to general solution of original differential equation. In this paper, lie transformations are obtained for linear and homogeneous differential equations of first order.