• COMPARATIVE NATURE OF SOLUTION FOR O. D. E. WITH VARIABLE COEFFICIENTS BY APPLYING LAPLACE TRANSFORM & ELZAKI TRANSFORM

Abstract

We know that Sumudu transform and Elzaki transforms are useful in solving ordinary differential equations with constant and variable coefficients.[3,4,6 ] Hassan Eltayeb and Adem Kilicman has proved some relation regarding existence of L.T. and S.T. [5]. He has solved the proposed equation by applying Laplace transform and obtained solution in complex form. In this paper we will solve ordinary differential equation with variable coefficients by applying Elzaki transform and proved relation regarding existence of Laplace transform and Elzaki transform by comparing their solution in nature.