Integrating factors for higher-order equations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural SciencesMay 27 (English)Conference paper, Presentation (Refereed) Published
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.
Integrating factors, higher-order differential equations
IdentifiersURN: urn:nbn:se:bth-8720Local ID: oai:bth.se:forskinfo9847B575675F396EC12573C90032231FOAI: oai:DiVA.org:bth-8720DiVA: diva2:836472
International conference MOGRAN 11