differential equations solver

A differential equations solver is a tool or method used to find a function that describes how a quantity changes over time or space, based on a relationship involving its rate of change. Instead of directly calculating the value at each point, it finds the underlying rule governing the system's behavior. These solutions help model real-world phenomena like population growth, heat transfer, or motion. The solver uses mathematical algorithms to approximate the function that satisfies the differential equation, enabling us to predict future states or understand the system's dynamics accurately.