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The 62 pages that link to Ordinary differential equation, each with the reason it gives.

• Initial conditionNarrower topic: Initial conditions commonly select solutions to equations in this broader class.

• Three-body problemNarrower topic: The bodies' positions evolve according to coupled ordinary differential equations.

• Nonlinear systemNarrower topic: Many nonlinear systems describe time evolution through coupled ordinary differential equations.

• Laplace transformNarrower topic: Laplace methods turn many linear ordinary differential equations into solvable algebraic relations.

• Entire functionNarrower topic: Solutions to many linear differential equations are entire functions of a complex variable.

• Cauchy problemNarrower topic: Cauchy problems for ordinary differential equations prescribe values at an initial point.

• Picard–Lindelöf theoremNarrower topic: The theorem concerns existence and uniqueness for this class of equations.

• Lorenz systemNarrower topic: Each Lorenz equation specifies how one system variable changes over time.

• Periodic orbitNarrower topic: Many continuous-time systems define trajectories by ordinary differential equations.

• Lotka–Volterra equationsNarrower topic: Each population's rate of change is specified as a function of current population sizes.

• Separation of variablesNarrower topic: Each separated factor commonly satisfies an ordinary differential equation.

• StreamlineNarrower topic: Streamline curves are obtained by solving differential equations for their tangent directions.

• Existence and uniqueness theoremNarrower topic: The theorem most commonly concerns whether an initial-value problem for this equation has exactly one solution.

• Floquet theoryNarrower topic: Floquet theory is a specialized method within the study of ordinary differential equations.

• Peano existence theoremNarrower topic: The theorem applies to local initial-value problems for ordinary differential equations.

• Runge–Kutta methodsNarrower topic: Runge–Kutta methods target initial-value problems for this class of equations.

• Euler methodNarrower topic: Euler’s method arose as a practical way to approximate solutions of these equations.

• Aleksandr LyapunovNarrower topic: His principal stability results concern solutions of differential equations.

• Carathéodory's existence theoremNarrower topic: The theorem is an existence result for this broad class of equations.

• Method of linesNarrower topic: After space is discretized, the method produces an ODE system in time.

• Shooting methodNarrower topic: Classical shooting is formulated for ordinary differential equation boundary problems.

• Integrating factorNarrower topic: Integrating factors are chiefly used to transform ordinary differential equations.

• Osgood's lemmaNarrower topic: Osgood's uniqueness conclusion applies to solutions of these equations.

• Liouville's formulaNarrower topic: The formula extends a classical Wronskian result for scalar ordinary differential equations.

• Numerical methods for ordinary differential equationsNarrower topic: These algorithms target equations whose unknown functions depend on a single independent variable.