POWER SERIES SOLUTION OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION SYSTEMS

In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996).

Keywords:

Power series, Numerical solution of the ordinary differential equations, MAPLE.