✦ LIBER ✦

On Abel's Identity, Part II: The Integration Of A Non-linear, Non-conservative System

✍ Scribed by S.E. Jones; G.J. Butson; P.L. Lemmers

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 163 KB
Volume: 160
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1993.1021

No coin nor oath required. For personal study only.

✦ Synopsis

The extension of Abel's Identity presented in the companion paper is used to construct the general solutions to some non-linear, autonomous systems. It is shown that only one first integral is required for the construction, and that one first integral naturally leads to a second independent integral for these systems. Several non-linear systems are considered as examples of the application.

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