The [[Klein–Gordon equation|Klein–Gordon equation]] [[#References|[a1]]], [[#References|[a2]]], [[#References|[a3]]]
...artial t } - i \frac { q e } { \hbar } \phi \right) ^ { 2 } + \right. \end{equation*}
5 KB (713 words) - 17:44, 1 July 2020
The ordinary differential equation
(Abel's differential equation of the first kind) or
2 KB (338 words) - 22:19, 4 July 2012
...& { 0 } & { p _ { k - 1 } } & { 0 } \end{array} \right), \end{equation*}
..._ { 1 , t }} \\ { \vdots } \\ { v _ { k , t } } \end{array} \right). \end{equation*}
6 KB (894 words) - 20:14, 4 February 2024
...lent functions]] and based to a large part on the [[Löwner equation|Löwner equation]] and its generalizations (see [[#References|[1]]]). K. Löwner himself use
3 KB (358 words) - 08:05, 6 June 2020
A second-order ordinary differential equation
...ce. G. Duffing [[#References|[1]]] was the first to study the solutions of equation \eqref{*}.
2 KB (298 words) - 15:03, 14 February 2020
\begin{equation}
\end{equation}
1 KB (242 words) - 14:34, 16 December 2012
$#C+1 = 13 : ~/encyclopedia/old_files/data/T092/T.0902340 Telegraph equation
The partial differential equation
2 KB (306 words) - 08:25, 6 June 2020
\begin{equation}
\end{equation}
3 KB (419 words) - 20:15, 19 November 2017
...ple, let the control system be described by a linear ordinary differential equation with constant coefficients:
then the linear inhomogeneous equation (2) has the particular solution $ y = W( s) e ^ {st} $.
4 KB (608 words) - 13:08, 18 June 2020
...0\, \operatorname { in } \mathbf{R} ^ { 3 } ,\, k = \text{const} > 0, \end{equation}
...uation} \tag{a2} u = e ^ { i k \alpha x } + v , \alpha \in S ^ { 2 }, \end{equation}
10 KB (1,490 words) - 05:45, 15 February 2024
\begin{equation}\label{eq:1}
\end{equation}
5 KB (718 words) - 15:35, 8 October 2023
\begin{equation*} \int _ { \Gamma } f ( z ) d z = 0 \end{equation*}
\begin{equation*} \int _ { \sigma ( \gamma ) } f ( z ) d z = 0. \end{equation*}
6 KB (961 words) - 16:45, 1 July 2020
...the first integral equations — the [[Abel integral equation|Abel integral equation]] — which was also solved. In fact, if $\omega$ is the angle formed by th
Integrating this equation between $0$ and $x$ and putting
2 KB (331 words) - 14:27, 14 February 2020
The integral equation
...in{equation}\int\limits_0^x\frac{\phi(s)}{\sqrt{x-s}}ds=f(x),\label{1}\end{equation}
4 KB (633 words) - 19:23, 22 December 2018
are the roots of the quadratic equation
...is equal to the [[Gaussian curvature|Gaussian curvature]] of the surface. Equation (*) may be written as
4 KB (610 words) - 14:54, 7 June 2020
\begin{equation*}
\end{equation*}
3 KB (550 words) - 10:36, 23 May 2017
$#C+1 = 11 : ~/encyclopedia/old_files/data/L057/L.0507140 Lagrange equation
An ordinary first-order differential equation, not solved for the derivative, but linear in the independent variable and
2 KB (364 words) - 22:15, 5 June 2020
An ordinary differential equation
...$, the Darboux equation may be reduced to a [[Bernoulli equation|Bernoulli equation]] by substituting $y=zx$.
3 KB (478 words) - 11:53, 20 April 2012
...frac { z } { \zeta } \right) ^ { m } \frac { d \zeta } { \zeta - z }. \end{equation*}
\begin{equation*} f ( z ) = \end{equation*}
7 KB (996 words) - 09:31, 3 February 2024
...ers in the first decades of the 16th century. In the course of solving the equation $x^3=15x+4$ using the newly discovered methods (S. del Ferro (1465–1526),
3 KB (437 words) - 07:46, 4 November 2023