Aplicação das equações diferenciais ordinárias no processo de resfriamento de um corpo.

Abstract

This work we have as objective to present an application of the Ordinary Differential Equations to the Law of the Newton cooling, which ensures that the rate of the temperature of the body variation is proportional to the temperatures difference between the body and environment. Hence, we present a review of some concepts of differential and integral calculus necessary for the understanding of the results presented in this work. Moreover, we will make an introduction to the study of Ordinary Differential Equations that are used in the mode ling of many real problems thus becoming an important instrument that has wide application in various fields of knowledge. Ultimately, we discuss the applicability of Ordinary Differential Equation in the cooling process of the body, using for this the Law of Newton Cooling, whose mathematical model is an equation differential ordinary of the first order that after solved allows determine the approximate temperature of a body at any time.