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List of Equations

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

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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>
 CategoryEquation(s)Author/
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221 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
a\left(1+\frac{\partial w}{\partial y}\right)\frac{\partial^2 w}{\partial x^2}-
a^2\left(1+\frac{\partial w}{\partial x}\right)^2=0$.\hfill\break Valentin Zaitsev
Submitted: 05 Sep 07 13:34
Edited (admin): 11 Jan 08 09:32
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222 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
a\left(\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}+
aw\frac{\partial w}{\partial x}+
\frac{\partial w}{\partial y}\right)\frac{\partial^2 w}{\partial x^2}-
a^2\left(\frac{\partial w}{\partial x}\right)^2=0$.\hfill\break Valentin Zaitsev
Submitted: 05 Sep 07 13:30
Edited (admin): 11 Jan 08 09:33
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223 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
\left(\frac{\partial w}{\partial x}+a\frac{\partial w}{\partial y}+a^2
\right)\frac{\partial^2 w}{\partial y^2}-
\left(\frac{\partial w}{\partial y}+a\right)^2=0$.\hfill\break Valentin Zaitsev
Submitted: 05 Sep 07 13:27
Edited (admin): 11 Jan 08 09:33
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224 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
F\left(y,\frac{\partial w}{\partial y}\right)\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Zaitsev
Submitted: 05 Sep 07 13:16
Edited (admin): 11 Jan 08 09:35
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225 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
(y+a)^{-2}\left(\frac{\partial w}{\partial x}+b\right)^2=0$.\hfill\break Valentin Zaitsev
Submitted: 05 Sep 07 13:13
Edited (admin): 11 Jan 08 09:36
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226 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
\frac{(\beta_1-\beta_2)^2(\frac{\partial w}{\partial x}+\alpha_1)^2
(\frac{\partial w}{\partial x}+\alpha_2)^2}
{(\alpha_1-\alpha_2)^2(y+\beta_1)^2(y+\beta_2)^2}=0$.\hfill\break Valentin Zaitsev
Submitted: 04 Sep 07 18:08
Edited (admin): 11 Jan 08 09:36
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227 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
a^2\left(\frac{\partial w}{\partial x}+b\right)^4=0$.\hfill\break Valentin Zaitsev
Submitted: 04 Sep 07 18:05
Edited (admin): 11 Jan 08 09:37
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228 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial {w}}{\partial t} = \frac{\partial}{\partial
x}\left[(\alpha w e^{-\lambda n
w}+\beta e^{-\lambda (n+1)w} + \gamma e^{-\lambda n w})\left( \frac{\partial {w}}{\partial
x}\right)^n\right] + b\,e^{\lambda w}$. Elena Andreevna Vyazmina
Submitted: 21 Dec 06 14:57
Edited (admin): 11 Jan 08 09:41
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229 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\noindent
$\displaystyle \frac{\partial^2w}{\partial t\partial x} = \left (\frac{\partial w}{\partial t}+aw\right )\frac{\partial^2w}{\partial x^2}\left ( \frac{\partial w}{\partial x} \right )^{-1} -a \frac{\partial w}{\partial x}+f(x)\left ( \frac{\partial w}{\partial t}+a w\right )$.

%\noindent
%$\displaystyle \frac{\partial^2w}{\partial t\partial x} = \left (\frac{\partial w}{\partial t}+aw\right )\frac{\partial^2w}{\partial x^2}\left ( \frac{\partial w}{\partial x} \right )^{-1} -a \frac{\partial w}{\partial x}+B(x)\left ( \frac{\partial w}{\partial x}+a w\right )$,\hfill\break
%where $a$ is a constant, $B(x)$ is a function. Yurii Kosovtsov
Submitted: 13 Dec 06 11:02
Edited (author): 16 Jan 08 09:37
Edited (admin): 13 Dec 06 12:14
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230 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle\frac{\partial^2 w}{\partial x^2}  = (\alpha y + \beta) \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial y^2}$. Elena Vyazmina
Submitted: 25 Jan 08 12:42
Edited (admin): 28 Jan 08 16:08
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Found 327 equations, 33 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 >>

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