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Integrable types of nonlinear ordinary differential equation sets of higher orders

✍ Scribed by Tang Guangsong; Yuan Cunde


Publisher
Springer
Year
1995
Tongue
English
Weight
333 KB
Volume
16
Category
Article
ISSN
0253-4827

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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.