MiniLogo

EqWorld

The World of Mathematical Equations

IPM Logo

Exact Solutions Methods Software For Authors Math Forums

EqArchive: Add Equation/Solution > View Equation

 English only

View Equation

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

Equation data
Category:6. Difference and Functional Equations
Subcategory:6.2. Nonlinear Equations in One Independent Variable
Equation(s):$\displaystyle y^{[2]}-y'=0$,\hfill\break
where $y^{[2]}=y(y(x))$.
Solution(s),
Transformation(s),
Integral(s)
:
Exact solutions:\hfill\break
$\displaystyle y(x) = e^{\frac{\pi}{3} (-1)^{1/6}} x^{\frac{1}{2}+\frac{i \sqrt{3}}{2}}$,\hfill\break
$\displaystyle y(x) = e^{\frac{\pi}{3} (-1)^{11/6}} x^{\frac{1}{2}+\frac{i \sqrt{3}}{2}}$.\hfill\break
Remarks:Two solutions for iterative differential equation.
Novelty:Material has been partially published elsewhere
References:http://faculty.kfupm.edu.sa/math/akca/papers/cheng.pdf
Author/Contributor's Details
Last name:Chernykh
First name:Ilya
Country:Russia
City:Moscow
Statistic information
Submission date:Fri 20 Mar 2009 13:52
Edits by author:3
Last edit by author:Wed 09 Dec 2009 07:54

Edit (Only for author/contributor)


The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

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