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On the complete integrability and linearization of nonlinear ordinary differential equations. II. Third-order equations

✍ Scribed by Chandrasekar, V.K.; Senthilvelan, M.; Lakshmanan, M.


Book ID
120147843
Publisher
The Royal Society
Year
2006
Tongue
English
Weight
359 KB
Volume
462
Category
Article
ISSN
0962-8444

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Linearization of third-order ordinary di
✍ W. Nakpim; S.V. Meleshko πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 201 KB

Necessary and sufficient conditions which allow the most general third-order ordinary differential equation x 000 ¼ f ðt; x; x 0 ; x 00 Þ to be transformed to X 000 þ aX ¼ 0 under the generalized Sundman transformation X ¼ Fðt; xÞ; dT ¼ Gðt; xÞdt; ðF x G -0Þ; are obtained in the paper. Here a -0 is