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View Equation

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

Equation data
Category:6. Difference and Functional Equations
Subcategory:6.3. Linear Equations in Two and More Independent Variables
Equation(s):$\displaystyle w(x,y,z)=w(ax,by,a^nb^mz)$,\hfill\break
where $a$ and $b$ are arbitrary numbers ($a,b>0$).
Solution(s),
Transformation(s),
Integral(s)
:
Solution:\hfill\break
$\displaystyle w=F\left(x^{-n}y^{-m}z\right)$,\hfill\break
where $F(r)$ is an arbitrary function.
Novelty:New equation(s) & solution(s) / integral(s)
Author/Contributor's Details
Last name:Polyanin
First name:Andrei
Country:Russia
City:Moscow
Statistic information
Submission date:Thu 23 Aug 2007 10:21
Edits by author:0

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Copyright © 2006-2011 Andrei D. Polyanin, Alexei I. Zhurov and Alexander L. Levitin