Title: Exponential Transform Method for Solving Linear Homogeneous Differential Equation with Variable Coefficients

Abdul Majeed Siddiqui

Department of Mathematics

Pennsylvania State University, York Campus

York, PA 17403, USA

Tahira Haroon

Department of Mathematics

COMSATS Institute of Information Technology,Islamabad 56180, Pakistan

Abstract: We attempt to solve a special class of linear homogeneous differential equations with variable coefficients using exponential transform method. The method is based upon the exponential function that occurs as a factor in the solution of homogeneous second order or higher order differential equations with constant coefficients. Several illustrative examples are presented to show the effectiveness of the method.