Elzaki and Sumudu Transforms for Solving some Differential Equations

In this paper we propose a novel computational algorithm for solving ordinary differential equations with non-constants coefficients by using the modified version of Laplace and Sumudu transforms which is called Elzaki transform. Elzaki transform can be easily applied to the initial value problems with less computational work. The several illustrative examples can not solve by Sumudu transform, this means that Elzaki transform is a powerful tool for solving some ordinary differential equations with variable coefficients.