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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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131 4. Nonlinear Partial Differential Equations
4.2. Second-Order Quasilinear Hyperbolic Equations
\noindent
$\displaystyle \frac{\partial^2 w}{\partial t \, \partial x}  = w \frac{\partial^2 w}{\partial t^2 }$ Yurii Kosovtsov
Submitted: 16 Jul 07 10:00
Edited (author): 03 Feb 09 11:05
Edited (admin): 20 Jul 07 09:38
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132 4. Nonlinear Partial Differential Equations
4.2. Second-Order Quasilinear Hyperbolic Equations
\noindent
$\displaystyle 
\frac{\partial^2 w}{\partial t \, \partial x}  = 
w \frac{\partial^2 w}{\partial x^2 }+a\left(\frac{\partial w}{\partial x }\right)^2$. Yurii Kosovtsov
Submitted: 03 Feb 09 11:57
Edited (admin): 13 Feb 09 11:12
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133 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^{\!2}-\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}
=f(w)\left(\frac{\partial w}{\partial x}\right)^{\!4}$. Andrei Polyanin
Submitted: 06 Dec 06 11:32
Edited (admin): 11 Dec 06 11:09
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134 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\noindent
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^{\!2}-\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}
=-f(w)\left(\frac{\partial w}{\partial x}\right)^{\!3}\frac{\partial w}{\partial y}$. Andrei Polyanin
Submitted: 08 Dec 06 15:58
Edited (admin): 11 Dec 06 11:12
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135 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
\noindent
$\displaystyle \left(\frac{\partial w}{\partial t}+a\right)\frac{\partial^2 w}{\partial t\partial x}
-\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial t^2} 
+\frac{\partial w}{\partial x}\left[2\left(\frac{\partial w}{\partial t}\right)^2+3a \frac{\partial w}{\partial t}+a^2 \right]=0$.

%\noindent
%$\displaystyle \left(\frac{\partial w}{\partial t}+a\right)\frac{\partial^2 w}{\partial t\partial x} +\frac{\partial w}{\partial x}\left[2\left(\frac{\partial w}{\partial t}\right)^2+3a \frac{\partial w}{\partial t}-\frac{\partial^2 w}{\partial t^2}+a^2 \right]=0$,\hfill\break
%where $a$ is a constant. Yurii Kosovtsov
Submitted: 12 Dec 06 12:13
Edited (admin): 13 Dec 06 09:40
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136 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
\frac{1}{(w+ax+b)^2}\left(\frac{\partial w}{\partial x}+
a\right)^2\left(\frac{\partial w}{\partial y}\right)^2=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:30
Edited (admin): 10 Jan 08 13:03
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137 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left[f(x)\frac{\partial w}{\partial y}+
\frac{\partial^2 w}{\partial x\partial y}\right]\frac{\partial^2 w}{\partial z^2}+
\left[g(z)\frac{\partial w}{\partial y}-
\frac{\partial^2 w}{\partial y\partial z}\right]\frac{\partial^2 w}{\partial x\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:31
Edited (admin): 10 Jan 08 13:04
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138 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial x\partial y}\left(\frac{\partial^2 w}{\partial x\partial z}-
f(z)\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:30
Edited (admin): 10 Jan 08 13:05
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139 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}-
\left(\frac{\partial w}{\partial z}-f(z)\right)\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:29
Edited (admin): 10 Jan 08 13:05
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140 4. Nonlinear Partial Differential Equations
4.4. Other Second-Order Equations
$\displaystyle \left(\frac{\partial^2 w}{\partial y\partial z}+
\frac{\partial w}{\partial z}\right)\frac{\partial^2 w}{\partial x^2}+
\left[f(z)-\frac{\partial^2 w}{\partial x\partial z}\right]
\left(\frac{\partial^2 w}{\partial x\partial y}+\frac{\partial w}{\partial x}\right)=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:29
Edited (admin): 10 Jan 08 13:06
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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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