Equações diferenciais ordinárias e aplicações

Abstract

In this work, we present the basic theory of first and second-order ordinary differential equations, their solution methods, and we dedicate special attention to applications, as ordinary differential equations model various phenomena in a wide range of fields of knowledge. We address phenomena such as population growth, radioactive decay, body cooling, solution dilution, mechanical vibrations, pursuit curves, and beam deflection. Additionally, we discuss some advanced techniques for solving ordinary differential equations, such as the power series method and the Laplace transform.