Equations of motion

In some cases, this differential equation, called an equation of motion, may be solved explicitly.

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.

More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables.

These variables are usually spatial coordinates and time, but may include momentum components.

An example of modeling a real world problem using differential equations is the determination of the velocity of a ball falling through the air, considering only gravity and air resistance.