Abstract
Nowadays, the Differential Transformation Method (DTM) is widely used in ordinary differential equations, partial differential equations and integral equations. Basically, the DTM is a numerical method based on the Taylor series expansion. Via this method, the analytical solutions are constructed in the form of a polynomial. Instead of evaluating the derivatives symbolically, this method calculates the relative derivatives by an iteration procedure describe by the transformed equations. Previous studies show that the differential transformation method is a powerful method having high accuracy to solve lower order boundary value problem and higher order boundary value problems for linear and nonlinear differential equations. In the present study, we solve system of linear differential equations by using DTM. To illustrate the accuracy of the method we provide several numerical examples and compare the results with their exact solutions.
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