An equation F(x, y, y', ..., y^(n)) = 0 relating a univariate function y(x) to its derivatives. Order = highest derivative.
Ordinary differential equation (ODE)
Related concepts
- Derivative
- Initial value problem (IVP)
- Linear ODE
- Method of characteristics
- Sturm-Liouville theory
- Peano existence theorem
- Stable / unstable manifold
- Hopf bifurcation
- Method of characteristics
- Picard-Lindelöf theorem
- Heat equation
- Wave equation (PDE)
- Laplace equation
- Grönwall's inequality
- Variation of parameters
- Hartman-Grobman theorem
- Poincaré-Bendixson theorem
- Lyapunov stability (direct method)
- Newton's second law (F=ma)
- Lagrangian mechanics (principle of stationary action)