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View Equation

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

Equation data
Category:4. Nonlinear Partial Differential Equations
Subcategory:4.2. Second-Order Quasilinear Hyperbolic Equations
Equation(s):\noindent
$\displaystyle \left( \frac{\partial^2 w}{\partial t \, \partial x} \right)^2 = \left( \frac{\partial w}{\partial x} \right)^2 \frac{\partial w}{\partial t}$
Solution(s),
Transformation(s),
Integral(s)
:
\noindent
The general solution:\hfill\break
$\displaystyle  w(t,x) = -\frac{4F'(t)}{F(t)+G(x)}+\int \left(\frac{F''(t)}{F'(t)}\right)^2\,dt$,\hfill\break
where $F(t)$ and $G(x)$ are arbitrary functions.
Novelty:New equation(s) & solution(s) / integral(s)
Author/Contributor's Details
Last name:Kosovtsov
First name:Yurii
Country:Ukraine
City:Lvov
Statistic information
Submission date:Tue 12 Dec 2006 11:03
Edits by author:1
Last edit by author:Wed 13 Dec 2006 08:36

Edit (Only for author/contributor)


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