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Linearisable Third-Order Ordinary Differential Equations and Generalised Sundman Transformations: The CaseX′′′=0

✍ Scribed by N. Euler; T. Wolf; P. G. L. Leach; M. Euler

Book ID
110426126
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
172 KB
Volume
76
Category
Article
ISSN
0167-8019

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📜 SIMILAR VOLUMES

Linearization of third-order ordinary di
Linearization of third-order ordinary differential equations by generalized Sundman transformations: The case
✍ 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