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On the relation between distinct particular solutions of equation 
Published online by Cambridge University Press: 14 November 2011
Synopsis
There exists a relation (1.5) between any n + 2 distinct particular solutions of the differential equation
In this paper, we show that when and only when n = 0, 1 and 2, this relation can be represented by the following form:
provided the form of this relation function Φn depends only on n and is independent of the coefficients of the equation. This result reveals interesting properties of these non-linear differential equations.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 5 , 1993 , pp. 917 - 926
- Copyright
- Copyright © Royal Society of Edinburgh 1993