In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...
44 KB (5,222 words) - 16:18, 1 November 2024
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
29 KB (3,628 words) - 15:16, 20 August 2024
methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs)....
28 KB (3,919 words) - 15:32, 12 June 2024
In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...
51 KB (7,305 words) - 16:18, 4 November 2024
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 (4,757 words) - 18:56, 29 September 2024
differentialium (On the integration of differential equations). A first-order ordinary differential equation in the form: M ( x , y ) d x + N ( x , y...
7 KB (1,153 words) - 10:36, 19 March 2023
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
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 (2,597 words) - 16:51, 7 September 2024
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
In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function...
8 KB (1,388 words) - 03:49, 7 August 2024