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Differential equations topics
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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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