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List of Equations

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

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See also: Categorized List of Equations

4. Nonlinear Partial Differential Equations

4.4. Other Second-Order Equations

Found 106 equations, 11 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 >>
 Equation(s)Author/
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31 $\displaystyle \left(\frac{\partial^2 w}{\partial y\partial z}+
\frac{\partial w}{\partial z}\right)\frac{\partial^2 w}{\partial x^2}+
\left[f(z)-\frac{\partial^2 w}{\partial x\partial z}\right]
\left(\frac{\partial^2 w}{\partial x\partial y}+\frac{\partial w}{\partial x}\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:56
Edited (admin): 10 Jan 08 14:37
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32 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
\frac{\partial^2 w}{\partial x\partial y}\frac{\partial^2 w}{\partial x\partial z}+
\left[f(x)-\frac{\partial^2 w}{\partial x^2}\right]
\left(\frac{\partial^2 w}{\partial y^2}+\frac{\partial^2 w}{\partial y\partial z}\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:55
Edited (admin): 10 Jan 08 14:43
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33 \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 13:55
Edited (admin): 10 Jan 08 14:46
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34 $\displaystyle \frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(x)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:54
Edited (admin): 10 Jan 08 14:46
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35 $\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y^2}-
\frac{\partial^2 w}{\partial y\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:53
Edited (admin): 10 Jan 08 14:49
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36 $\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial z^2}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:52
Edited (admin): 10 Jan 08 14:50
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37 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}+
f(y)\frac{\partial w}{\partial x}\left(\frac{\partial w}{\partial y}+aw\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:51
Edited (admin): 10 Jan 08 14:51
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38 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}+
f(y)\frac{\partial w}{\partial x}g\left(\frac{\partial w}{\partial y}\right)=0=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:50
Edited (admin): 10 Jan 08 14:52
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39 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}+
f(x)\frac{\partial w}{\partial y}\left(\frac{\partial w}{\partial y}+aw\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:50
Edited (admin): 10 Jan 08 14:53
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40 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}+
f(x)h(w)g\left(\frac{\partial w}{\partial y}\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:49
Edited (admin): 10 Jan 08 14:54
Details
Edit
Found 106 equations, 11 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 >>

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