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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 >>
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181 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
f(w)\frac{\partial w}{\partial y}\left[\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}-
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}\right]=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:43
Edited (admin): 10 Jan 08 15:08
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182 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
f(y)\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:42
Edited (admin): 10 Jan 08 15:08
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183 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
f(x)\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:41
Edited (admin): 10 Jan 08 15:09
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184 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} \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[g(u)\left(\frac{\partial w}{\partial y}-\frac{\partial w}{\partial x}\right)+f(w)\right]
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial x\partial y}+\\
+\left[g(w)\frac{\partial w}{\partial x}-f(w)\right]
\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}-
g(w)\left(\frac{\partial w}{\partial x}\right)^2\frac{\partial^2 w}{\partial y^2}=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:41
Edited (admin): 10 Jan 08 15:11
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185 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} \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\{[f(w)-g(w)]\frac{\partial w}{\partial x}+[f(w)+g(w)]\frac{\partial w}{\partial y}\right\}
\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial x\partial y}+\\
+\left\{[g(w)-f(w)]\frac{\partial w}{\partial x}-f(w)\frac{\partial w}{\partial y}\right\}
\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}-
g(w)\left(\frac{\partial w}{\partial x}\right)^2\frac{\partial^2 w}{\partial y^2}=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:40
Edited (admin): 10 Jan 08 15:11
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186 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} \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\{f(w)\left(\frac{\partial w}{\partial x}\right)^2+\left[f(w)\frac{\partial w}{\partial y}-g(w)\right]\frac{\partial w}{\partial x}+
g(w)\frac{\partial w}{\partial y}\right\}\frac{\partial^2 w}{\partial x\partial y}-\\
-\left[f(w)\left(\frac{\partial w}{\partial y}\right)^2+f(w)\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}-
g(w)\frac{\partial w}{\partial y}\right]\frac{\partial^2 w}{\partial x^2}-g(w)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:39
Edited (admin): 10 Jan 08 15:12
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187 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} \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^2}+
\left[h(x)\frac{\partial w}{\partial y}+g(y)\frac{\partial w}{\partial x}\right]\frac{\partial^2 w}{\partial x\partial y}-\\
-p(x)\frac{\partial^2 w}{\partial y^2}+[p(x)f(y)+h(x)g(y)]\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:38
Edited (admin): 10 Jan 08 15:13
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188 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\begin{multline*} \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^2}+
\left[h(x)\frac{\partial w}{\partial y}+g(y)\right]\frac{\partial^2 w}{\partial x\partial y}-\\
-p(x)\frac{\partial^2 w}{\partial y^2}+[h(x)g(y)+f(y)p(x)]\frac{\partial w}{\partial y}=0.
\end{multline*} Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:38
Edited (admin): 10 Jan 08 15:13
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189 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
f(y)\frac{\partial^2 w}{\partial x^2}+[h(x)+g(y)]\frac{\partial^2 w}{\partial x\partial y}-
p(x)\frac{\partial^2 w}{\partial y^2}+h(x)g(y)+f(y)p(x)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:37
Edited (admin): 10 Jan 08 15:15
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190 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
g(y)\frac{\partial^2 w}{\partial x^2}-
f(x)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}-
f(x)g(y)\frac{\partial w}{\partial x}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:36
Edited (admin): 10 Jan 08 15:16
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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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