What are the applications of Differential equations in the field of computer programming?

There are several applications of differential equations...

To begin with, there is the typical distance with respect to time (e.g. finding the rate of change between two cars after four hours if they start at a point and move in a 90 degree angle from each other). The differential equation is also used in physics with Newton's Second Law of Motion and the Law of Cooling. It can also be used in Hooke's Law for modeling the motion of a spring or in representing models for population growth and money flow/circulation. There are many other applications and there are many equations out there that can be used to set up and solve day-to-day problems.

Experience: Calculus 2 student