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Template:Differential equations topics

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Differential equations

Classification

Operations	Differential operator Notation for differentiation Ordinary Partial Differential-algebraic Integro-differential Fractional Linear Non-linear Holonomic
Attributes of variables	Dependent and independent variables Homogeneous Nonhomogeneous Coupled Decoupled Order Degree Autonomous Exact differential equation On jet bundles
Relation to processes	Difference (discrete analogue) Stochastic Stochastic partial Delay

Solutions

Existence/uniqueness	Picard–Lindelöf theorem Peano existence theorem Carathéodory's existence theorem Cauchy–Kowalevski theorem
Solution topics	Wronskian Phase portrait Phase space Lyapunov stability Asymptotic stability Exponential stability Rate of convergence Series solutions Integral solutions Numerical integration Dirac delta function
Solution methods	Inspection Separation of variables Method of undetermined coefficients Variation of parameters Integrating factor Integral transforms Euler method Finite difference method Crank–Nicolson method Runge–Kutta methods Finite element method Finite volume method Galerkin method Perturbation theory

Applications

List of named differential equations

Mathematicians

Isaac Newton
Gottfried Wilhelm Leibniz
Leonhard Euler
Jacob Bernoulli
Émile Picard
Józef Maria Hoene-Wroński
Ernst Lindelöf
Rudolf Lipschitz
Joseph-Louis Lagrange
Augustin-Louis Cauchy
John Crank
Phyllis Nicolson
Carl David Tolmé Runge
Martin Kutta
Sofya Kovalevskaya

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