ODE solvers

ODE (Ordinary Differential Equation) solvers are mathematical tools used to find how a system changes over time. They work by approximating the solution step-by-step, starting from an initial condition. Imagine tracking a vehicle's position and speed; the solver predicts future states based on current trends, allowing us to model complex processes like climate, biology, or physics. Different methods (like Euler or Runge-Kutta) balance accuracy and computational effort, helping scientists and engineers simulate and analyze dynamic systems effectively.