Numerical and analytical solutions of an ODE: Strengths and weaknesses of the analytical series solution

The analytical solution for a nonlinear ordinary differential equation was obtained but was only applicable for lower input parameters. A numerical solution for the same equation which provided good results for all input parameters was also obtained. Since the analytical solution contained an infinite series, the solution depended on the number of terms used in the series, resulting in failure for certain input parameters at low time values. (C) 2011 Elsevier Inc. All rights reserved.