He’s variational iteration method for solving linear and non-linear systems of ordinary differential equations

In this article, He’s variational iteration method (VIM) is employed to solve a system of differential equations of first order. Since every ordinary differential equations of higher order can be converted into a system of differential of the first order, this method can be used for solving most differential equations. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results reveal that the method is very effective and simple.