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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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11 $\displaystyle \frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(x)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:27
Edited (admin): 10 Jan 08 13:08
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12 $\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y^2}-
\frac{\partial^2 w}{\partial y\partial z}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:26
Edited (admin): 10 Jan 08 13:08
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13 $\displaystyle \frac{\partial^2 w}{\partial x\partial z}\frac{\partial^2 w}{\partial y\partial z}-
\frac{\partial^2 w}{\partial z^2}\frac{\partial^2 w}{\partial x\partial y}+
f(z)\frac{\partial w}{\partial x}\frac{\partial^2 w}{\partial y\partial z}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 16:25
Edited (admin): 10 Jan 08 13:09
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14 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2-
\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}-
b\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial x^2}+
\left(a\frac{\partial w}{\partial y}-
b\frac{\partial w}{\partial x}\right)\frac{\partial^2 w}{\partial x\partial y}-
ab\frac{\partial w}{\partial x}\frac{\partial w}{\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 13:07
Edited (admin): 10 Jan 08 13:10
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15 $\displaystyle \frac{\partial w}{\partial x}\left(\frac{\partial^2 w}{\partial y^2}\right)^2+
aw\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:12
Edited (admin): 10 Jan 08 13:12
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16 $\displaystyle a\left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x^2}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:12
Edited (admin): 10 Jan 08 13:13
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17 $\displaystyle a\frac{\partial w}{\partial x}\left(\frac{\partial^2 w}{\partial y^2}\right)^2+
\left(\frac{\partial w}{\partial y}\right)^2\frac{\partial^2 w}{\partial x\partial y}+
f(x)\left(\frac{\partial w}{\partial y}\right)^2=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:11
Edited (admin): 10 Jan 08 13:13
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18 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^3+
f(x)\left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
a\frac{\partial^2 w}{\partial x^2}\left(\frac{\partial^2 w}{\partial y^2}\right)^2=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:10
Edited (admin): 10 Jan 08 13:15
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19 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
f\left(\frac{\partial w}{\partial x}\right)\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:10
Edited (admin): 10 Jan 08 13:18
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20 $\displaystyle \left(\frac{\partial^2 w}{\partial x\partial y}\right)^2+
f\left(\frac{\partial w}{\partial x}\right)\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial y^2}+
\left[1+f\left(\frac{\partial w}{\partial x}\right)\right]\frac{\partial^2 w}{\partial x^2}\frac{\partial^2 w}{\partial x\partial y}=0$.\hfill\break Valentin Feodorovich Zaitsev
Submitted: 09 Jan 08 14:09
Edited (admin): 10 Jan 08 13:20
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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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