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List of Equations

The database contains 327 equations (8 equations are awaiting activation).

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2. First-Order Partial Differential Equations

2.1. Linear Equations

Found 3 equations
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1 \begin{equation} 
\label{1}
{\rm div}{\mathbf U}=-\frac{q}{4\pi}\,{\delta (r)} \hfill \break 
\end{equation}  
where $\mathbf r=\{x,y,z\},$ \space $ r=\sqrt {x^2+y^2+z^2}$. Bounary condion is $ {\mathbf U \rightarrow    0}  $ when 
$ r \rightarrow \infty $. $ Alexander Ivanchin
Submitted: 08 Mar 09 07:30
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2 $\displaystyle \frac{\partial w}{\partial t}+y\frac{\partial
w}{\partial x}+ f(t)\frac{\partial w}{\partial y}=0$.\hfill\break Igor Sergeev
Submitted: 08 Feb 10 15:11
Edited (admin): 09 Feb 10 16:50
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3 $\displaystyle 
x_2 \frac{\partial u}{\partial x_1}+
2 x_3 \frac{\partial u}{\partial x_2}+
3 x_4 \frac{\partial u}{\partial x_3}+
\frac{1}{6} (30 x_4 x_1+20 x_3 x_2+10 x_2 x_1^3-20 x_3 x_1^2-15 x_2^2 x_1-x_1^5) 
\frac{\partial u}{\partial x_4}=0
$\hfill\break Vladimir Kirichenko
Submitted: 18 Dec 09 17:46
Edited (admin): 01 Sep 13 10:22
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Found 3 equations

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