Definition of a differential equation?

Definition of a differential equation?

Answer:

A differential equation is a mathematical equation that relates a function to its derivatives (or differentials). It describes how a function changes at different points or over time, based on the relationship between the function and its derivatives.

In other words, a differential equation is an equation that involves the rates of change of a function, as well as the function itself. These equations arise in many areas of mathematics, physics, engineering, and other sciences where there is a need to model and predict how things change over time.

Solving differential equations is an important part of many fields of science and engineering, and there are a variety of techniques and methods that can be used to find solutions to these equations. These solutions can provide insights into the behavior of physical systems and help to make predictions about future changes.