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Integrating factors for higher-order equations
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May 27 (English)Conference paper, Presentation (Refereed) Published
Abstract [en]

Integrating factors are determined for ordinary differential equations of an arbitrary order. In the case of first-order equations the new definition coincides with the usual definition of integrating factor introduced by A. Clairaut in 1739. It is shown that higher-order equations, unlike the first-order equations, can have an integrating factor even when they do not admit Lie point symmetries. The method is illustrated by several examples.

Place, publisher, year, edition, pages
Karlskrona; Sweden, May 27.
Keyword [en]
Integrating factors, higher-order differential equations
National Category
Mathematical Analysis
URN: urn:nbn:se:bth-8720Local ID: diva2:836472
International conference MOGRAN 11
Available from: 2012-09-18 Created: 2008-01-07 Last updated: 2015-06-30Bibliographically approved

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