Differential Equation

Definition

A differential equation is an equation that relates one or more derivatives of an unknown function with the function itself. It describes how the rate of change of a quantity depends on its current value.

Related terms

Ordinary Differential Equation (ODE): An ODE is a type of differential equation where only ordinary derivatives appear.

Partial Differential Equation (PDE): A PDE is a type of differential equation where partial derivatives appear, often used to describe physical phenomena involving multiple variables.

Initial Value Problem (IVP): An IVP involves solving a differential equation while also satisfying certain initial conditions, such as knowing the value or derivative at some specific point.