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In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. [ 1 ]
This is a list of named linear ordinary differential equations. A–Z. Name Order Equation Applications Airy: 2 = [1] ...
Pages in category "Ordinary differential equations" The following 141 pages are in this category, out of 141 total. This list may not reflect recent changes. ...
1.6 Ordinary Differential Equations (ODEs) 1.7 Riemannian geometry. 2 Physics. Toggle Physics subsection. 2.1 Astrophysics. 2.2 Classical mechanics. 2.3 Electromagnetism.
These include differential equations, manifolds, Lie groups, and ergodic theory. [4] This article gives a summary of the most important of these. This article lists equations from Newtonian mechanics, see analytical mechanics for the more general formulation of classical mechanics (which includes Lagrangian and Hamiltonian mechanics).
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. [1] In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.
Differential equations are prominent in many scientific areas. Nonlinear ones are of particular interest for their commonality in describing real-world systems and how much more difficult they are to solve compared to linear differential equations.
Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. [1] In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved.
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