Differential Equations

Differential equations are mathematical equations that describe how things change over time or in relation to one another. They involve functions and their derivatives, which represent rates of change. For example, the motion of a car can be described by a differential equation relating speed (rate of change of position) to time. These equations are fundamental in various fields like physics, engineering, and economics, as they help model dynamic systems and predict behaviors. Solving a differential equation means finding the function that satisfies the relationship defined by the equation.