In this paper, we will compare the Differential Transform Method (DTM) and Taylor Series Method (TSM) applied to the solution of linear and nonlinear ordinary differential equations. The comparison shows that the Differential Transform Method is reliable, efficient and easy to use from computational point of view. Although the both of methods provide the solution in an infinite series, the Differential Transform Method provides a fast convergent series of easily computable components and eliminates heavy computational work needed by Taylor Series Method.
