Abstract differential equation

A differential equation is like a set of rules that describe how things change. An abstract differential equation is a rule that describes how things change, but it is much more general than equations you may have seen in math class — it can be used to describe many kinds of relationships and movements. For example, it can be used to describe the motion of a falling object, the growth of a population, or the amount of electrons in a circuit. Differential equations are used by scientists to solve all kinds of problems and help us understand how things in the world work.