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First integrals and reduction of a class of nonlinear higher order ordinary differential equations

✍ Scribed by N. Euler; P.G.L. Leach

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 200 KB
Volume: 287
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00544-4

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✦ Synopsis

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) ) ẋ are considered. The relation of the proposed method to local and nonlocal symmetries are discussed.

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