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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 >>
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41 $\displaystyle w\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}-
w\left[\left(\frac{\partial w}{\partial x}\right)^2+f(x)\right]\frac{\partial^2 w}{\partial x\partial y}-
f(x)\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:48
Edited (admin): 10 Jan 08 14:55
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42 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
\frac{1}{y}\left[f(x)+\frac{\partial w}{\partial x}\right]\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:48
Edited (admin): 10 Jan 08 14:56
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43 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\left[a\frac{\partial w}{\partial x}-g(x)\frac{\partial w}{\partial y}\right]\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:47
Edited (admin): 10 Jan 08 14:57
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44 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\left[a\frac{\partial w}{\partial x}-g(x)\right]\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:46
Edited (admin): 10 Jan 08 14:58
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45 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\left[f(x)w+\frac{\partial w}{\partial x}\right]\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:45
Edited (admin): 10 Jan 08 14:58
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46 $\displaystyle \frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}-
\left[f(x)w+\frac{\partial w}{\partial x}\right]\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:45
Edited (admin): 10 Jan 08 14:59
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47 $\displaystyle \left(\frac{\partial w}{\partial x}\right)^2\frac{\partial^2 w}{\partial y^2}-
\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x^2}+
\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}\left[g(y)\frac{\partial w}{\partial x}-
f(x)\frac{\partial w}{\partial y}\right]=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:44
Edited (admin): 10 Jan 08 15:07
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48 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
\frac{\partial w}{\partial x}\left[g(y)\frac{\partial^2 w}{\partial x\partial y}-
f(x)\frac{\partial^2 w}{\partial y^2}\right]=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:43
Edited (admin): 10 Jan 08 15:07
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Edit
49 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
f(w)\frac{\partial w}{\partial y}\left[\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}\right]=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:43
Edited (admin): 10 Jan 08 15:08
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50 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
f(y)\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:42
Edited (admin): 10 Jan 08 15:08
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Found 106 equations, 11 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 >>

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