👉 In mathematics, a differential equation is an equation that involves derivatives of functions. It is used to describe relationships between quantities in physics and engineering, such as velocity or acceleration, which can be expressed using differentials. The derivative of a function at a point represents the rate of change of that function with respect to its independent variable. Differential equations are often solved using techniques from calculus, including separation of variables, integration by parts, and Laplace transforms. They are used in various fields such as physics