differential equation

noun
UK /ˌdɪfəˈrenʃəl ɪˈkweɪʒən/
US /ˌdɪfəˈrenʃəl ɪˈkweɪʒən/

A differential equation is a math rule that connects how something changes with the thing itself.

The scientist used a differential equation to predict how the ice would melt over time.


OTHER MEANINGS

2. An equation involving derivatives of an unknown function, used to model physical systems.

Newton's second law can be written as a differential equation relating force and acceleration.

3. A mathematical statement that describes how a quantity evolves continuously.

Population growth is often modeled with a differential equation.

4. In engineering, a tool for predicting how systems respond over time.

The engineer solved the differential equation to find the circuit's voltage.