Ode

An ordinary differential equation (ODE) is a mathematical equation that relates a function to one or more of its derivatives, which describe how the function changes. Essentially, it models how a system evolves over time or space based on its current state. ODEs are used in many fields like physics, engineering, and biology to describe phenomena such as the motion of objects, population growth, or heat transfer. Solving an ODE means finding the function that satisfies the relationship, helping us predict future behavior based on initial conditions.