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On the c- and p-Discriminants of Ordinary Integrable Differential Equations of the First Order

✍ Scribed by Hill, M. J. M.


Book ID
120105153
Publisher
Oxford University Press
Year
1887
Tongue
English
Weight
910 KB
Volume
s1-19
Category
Article
ISSN
0024-6115

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First integrals and reduction of a class
✍ N. Euler; P.G.L. Leach πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 200 KB

We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form x (n) = h(x, x (n-1) ) αΊ‹ are considered. The relation of the proposed method to local and nonlocal symmetries are discussed.