Equações diferenciais e algumas aplicações

Abstract

The students' search for the use of mathematics in everyday life is present in all stages of teaching, based on this, we seek to present applications in a specific field: ordinary differential equations. Initially, we show some basic concepts, such as definition and classification, then we talk about first-order and second-order ordinary differential equations and their resolution methods, since the models used are in these forms. The models developed in this work address two fields of science: mathematics and physics, specifically, we model interest, the spring mass system and the electric circuit. The modeling followed a set of restrictions and specificity so that the objective of the work was achieved, which was the simple demonstration of the use of ordinary differential equations in the development of sciences and in the frequency that these subjects are used in objects. simple and common, such as electronic devices and shock absorbers.