In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...
44 KB (5,187 words) - 10:48, 30 April 2025
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
29 KB (3,631 words) - 15:23, 23 April 2025
Such an equation is an ordinary differential equation (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if...
30 KB (4,754 words) - 02:35, 2 May 2025
methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs)....
28 KB (3,916 words) - 07:09, 27 January 2025
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives...
49 KB (6,795 words) - 21:29, 14 May 2025
differentialium (On the integration of differential equations). A first-order ordinary differential equation in the form: M ( x , y ) d x + N ( x , y...
8 KB (1,276 words) - 16:06, 6 May 2025
Nonlinear system (redirect from Nonlinear differential equation)
system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear...
21 KB (2,645 words) - 22:34, 20 April 2025
In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...
6 KB (993 words) - 21:30, 5 February 2024
type, a neural ordinary differential equation (neural ODE), defines the evolution of a system's state using an ordinary differential equation whose dynamics...
7 KB (850 words) - 05:26, 25 May 2025
mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in...
20 KB (5,225 words) - 07:01, 9 November 2024
a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or...
19 KB (2,870 words) - 12:38, 23 April 2025
functions to their derivatives. For example, a first-order matrix ordinary differential equation is x ˙ ( t ) = A ( t ) x ( t ) {\displaystyle \mathbf {\dot...
15 KB (2,732 words) - 21:11, 26 March 2024
In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function...
10 KB (1,599 words) - 09:58, 21 March 2025
In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless...
25 KB (3,802 words) - 15:30, 29 April 2025
. Differential equations are subdivided into ordinary differential equations for functions of a single variable and partial differential equations for...
32 KB (4,249 words) - 19:03, 26 March 2025
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...
36 KB (5,665 words) - 10:40, 9 April 2025
developed for the numerical integration of ordinary differential equations (ODEs) and differential algebraic equations (DAEs), to be used. A large number of...
17 KB (1,942 words) - 11:50, 25 May 2025
an Euler–Cauchy equation, or Cauchy–Euler equation, or simply Euler's equation, is a linear homogeneous ordinary differential equation with variable coefficients...
12 KB (2,535 words) - 07:18, 21 September 2024
Regular singular point (redirect from Fuchsian ordinary differential equation)
In mathematics, in the theory of ordinary differential equations in the complex plane C {\displaystyle \mathbb {C} } , the points of C {\displaystyle...
10 KB (1,674 words) - 19:56, 28 November 2024
In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum...
63 KB (9,399 words) - 17:12, 26 February 2025
are to solve compared to linear differential equations. This list presents nonlinear ordinary differential equations that have been named, sorted by area...
39 KB (2,094 words) - 11:09, 21 May 2025
functional differential equation is a differential equation with deviating argument. That is, a functional differential equation is an equation that contains...
14 KB (2,185 words) - 03:34, 2 February 2024
state, i.e. partial differential equations (PDEs) which are infinite dimensional, as opposed to ordinary differential equations (ODEs) having a finite...
16 KB (2,439 words) - 01:48, 24 May 2025
In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form y ( x ) = x d y d x + f ( d y d x ) {\displaystyle...
3 KB (541 words) - 19:53, 9 March 2025
named linear ordinary differential equations. List of nonlinear ordinary differential equations List of nonlinear partial differential equations List of named...
4 KB (50 words) - 08:11, 9 October 2024
List of topics named after Leonhard Euler (redirect from Euler's equation)
equation, a first order nonlinear ordinary differential equation Euler conservation equations, a set of quasilinear first-order hyperbolic equations used...
15 KB (1,721 words) - 14:18, 9 April 2025
classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of...
24 KB (4,855 words) - 00:52, 2 April 2025
(French: [koʃi]) boundary condition augments an ordinary differential equation or a partial differential equation with conditions that the solution must satisfy...
4 KB (627 words) - 11:10, 21 August 2024
partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary stochastic...
8 KB (826 words) - 03:40, 5 July 2024
Separation of variables (redirect from Separable ordinary differential equation)
several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables...
19 KB (3,411 words) - 13:46, 15 May 2025