Procedure for Exact Solutions of Sti Ordinary Dierential Equations Systems

In this work, we present a technique for the analytical solution of systems of sti ordinary dierential equations (SODEs) using the power series method (PSM). Three SODEs systems are solved to show that PSM can nd analytical solutions of SODEs systems in convergent series form. Additionally, we propose a post-treatment of the power series solutions with the Laplace-Pade (LP) resummation method as a powerful technique to nd exact solutions. The proposed method gives a simple procedure based on a few straightforward steps.