Equações Diferenciais Ordinárias de Primeira Ordem e Algumas Aplicações.

Abstract

Ordinary differential equations are useful tools for modeling applications ranging from natural to laboratory phenomena. In view of this, the aim of this work is to relate first-order ordinary differential equations classified as linear or non-linear to some applications, bearing in mind that the analytical solutions of these equations are simplistic. The methodology used in this work is a bibliographical survey of differential equations, using university textbooks. The definitions and theorems are related to the books by Boyce, Yartey, Chasnov and Doering, and the applications are taken from the university textbooks by Braun, Zill, Bassanezi and Tygel. In view of these bibliographical surveys, some of the results obtained by the analytical solutions of the differential equations presented is the interdisciplinarity between theory and application. Thus, from these surveys, it is possible to establish a relationship between the applicability of these differential equations and applied mathematics.