A differential equation is a mathematical expression that relates a function to its derivatives, representing the instantaneous change of one quantity with respect to another. It can describe dynamic phenomena in physics, engineering, and applied sciences.
They are classified as ordinary (involving derivatives with respect to a single variable) and partial (involving partial derivatives with respect to multiple variables). Solving a differential equation involves finding the function that satisfies the relationship and meets given conditions.
These equations are fundamental for modeling and understanding change in dynamic systems.
