Solving Dierential Equations by Using a Combination of the First Kind Chebyshev Polynomials and Adomian Decomposition Method

In this paper, we are going to solve a class of ordinary dierential equations that its source term are rational functions. We obtain the best approximation of source term by Chebyshev polynomials of the rst kind, then we solve the ordinary dierential equations by using the Adomian decomposition method.