Sistemas de equações diferenciais ordinárias de primeira ordem

Abstract

In this course conclusion work we study concepts of first order linear ordinary differencial equa-tions systems and from the understanding of these concepts, we approach the stability of thesesystems. We present theorems that guarantee both the existence anduniqueness of solutions asthe main facts about the structure of homogeneous linear system solutions. Exhibit linear ODEsystems solutions homogeneous with constant coefficients and made the generalization of solu-tions by exponential matrix. We show how to get solutions for non homogeneous linear ODEsystems. Finally, we made a classification of how much a solution is stable, asymptotically stable or unstable according to the kind of eigenvalue.