Applications of First-Order Ordinary Differential Equations to Real-Life Systems

Abstract

This article discussed applications of first-order ordinary differential equations to real-life systems, various types of differential equations with examples are presented. When a dead body is discovered somewhere, Police and detective security agencies are eager to identify the time of death and what caused the death. In this article, Newton’s Law of Cooling is used to estimate the time of death of a dead body discovered at midnight with the aid of information about the body’s surrounding temperature. It was discovered in this study that Newton’s law of cooling only works when the temperature of the body’s surroundings is kept constant. The study also considered other applications of first-order differential equations such as the population growth model and radioactive decay of radioactive isotopes and illustrative examples are given in each case.