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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:4.4. Other Second-Order Equations
Equation(s):$\displaystyle
\frac{\partial^2 w}{\partial x^2}=
(ay+b)^3\ln{\left|ay+b\right|}\frac{\partial w}{\partial y}\frac{\partial^2 w}{\partial y^2}$.
Solution(s),
Transformation(s),
Integral(s)
:
Solution:
$$
w(x,y) = Ax + B + C_1\left( {C_2 - x} \right)^{ - 2}
\ln{\left|ay+b\right|},
$$
where $A$, $B$, $C_1$, and $C_2$ are arbitrary constants.
Novelty:New equation(s) & solution(s) & transformation(s)
Author/Contributor's Details
Last name:Vyazmina
First name:Elena
Country:Russia
City:Moscow
Affiliation:Institute for Problems in Mechanics
Statistic information
Submission date:Fri 25 Jan 2008 12:43
Edits by author:0

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