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Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order

✍ Scribed by Schulze-Halberg, Axel


Book ID
121721184
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2012
Tongue
English
Weight
224 KB
Volume
3
Category
Article
ISSN
1867-1152

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📜 SIMILAR VOLUMES


Linearization of third-order ordinary di
✍ W. Nakpim; S.V. Meleshko 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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