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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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141 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
\frac{\partial^2 w}{\partial x\partial y}\frac{\partial^2 w}{\partial x\partial z}+
\left[f(x)-\frac{\partial^2 w}{\partial x^2}\right]
\left(\frac{\partial^2 w}{\partial y^2}+\frac{\partial^2 w}{\partial y\partial z}\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:28
Edited (admin): 10 Jan 08 13:06
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142 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} f(x)\left[\left(\frac{\partial^2 w}{\partial y\partial z}\right)^2-
\frac{\partial^2 w}{\partial y^2}\frac{\partial^2 w}{\partial z^2}\right]+
g(y)\left(\frac{\partial^2 w}{\partial x\partial y}\frac{\partial^2 w}{\partial z^2}-
\frac{\partial^2 w}{\partial y\partial z}\frac{\partial^2 w}{\partial x\partial z}\right)+\\
+h(z)\left(\frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y^2}-
\frac{\partial^2 w}{\partial y\partial z}\frac{\partial^2 w}{\partial x\partial y}\right)=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:27
Edited (admin): 10 Jan 08 13:07
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143 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(x)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:27
Edited (admin): 10 Jan 08 13:08
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144 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y^2}-
\frac{\partial^2 w}{\partial y\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:26
Edited (admin): 10 Jan 08 13:08
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145 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial z^2}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:25
Edited (admin): 10 Jan 08 13:09
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146 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
b\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}+
\left(a\frac{\partial w}{\partial y}-
b\frac{\partial w}{\partial x}\right)\frac{\partial^2 w}{\partial x\partial y}-
ab\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:07
Edited (admin): 10 Jan 08 13:10
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147 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial w}{\partial x}\left(\frac{\partial^2 w}{\partial y^2}\right)^2+
aw\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:12
Edited (admin): 10 Jan 08 13:12
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148 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle a\left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:12
Edited (admin): 10 Jan 08 13:13
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149 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle a\frac{\partial w}{\partial x}\left(\frac{\partial^2 w}{\partial y^2}\right)^2+
\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x\partial y}+
f(x)\left(\frac{\partial w}{\partial y}\right)^2=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:11
Edited (admin): 10 Jan 08 13:13
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150 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^3+
f(x)\left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
a\frac{\partial^2 w}{\partial x^2}\left(\frac{\partial^2 w}{\partial y^2}\right)^2=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:10
Edited (admin): 10 Jan 08 13:15
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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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