Estudo com equações diferenciais ordinárias e aplicações

Abstract

In this work we expose some of the main methods of solving first order differential equations and we present some applications of these in differential equations that model physical, chemical and biological problems. In addition, we present the main mathematicians that contributed to the development of differential equations, defining this concept and classifying them according to their type, order and linearity, directing this work to the first order ordinary differential equations, demonstrating some of the methods used to solve them. The methods studied for the resolution of these equations were the separable equations, the integral factor method, exact and non-exact equations, homogeneous equations and Bernoulli’s equation. Finally, we will present some applications for ordinary differential equations in areas of science other than mathematics. For the development, a bibliographic survey was carried out, with books, articles and works to develop this work, in order to study the main concepts of differential equations and their possible applications in various areas of science.