Abstract
This project aims to study basic notions and introductory results of Qualitative Theory of Ordinary Differential Equations. In particular, we concern to the existence and uniqueness of solutions, the $C^1$ dependence of solutions on the initial conditions, the Tubular Flow Theorem, the Hartman-Grobman Theorem, and differential equations in the plane with Poincaré-Bendixson Theory. We also…