The Applications of Differential Equations in Modeling Physical Phenomena

Abstract

Differential equations are mathematical equations that describe the relationship between a function and its derivatives. They play a vital role in modeling various physical phenomena across disciplines such as physics, chemistry, engineering, and economics. This paper will explore how differential equations are used to model real-world problems. We will discuss how to formulate differential equations from physical principles and solve them using appropriate techniques. We will also explore some specific examples of applications of differential equations in modeling motion, heat transfer, population growth, and many more.