Parametrically defined differential equations

Polyanin, A D and Zhurov, Alexei ORCID: https://orcid.org/0000-0002-5594-0740 2017. Parametrically defined differential equations. Journal of Physics. Conference Series 788 (1) , 012028. 10.1088/1742-6596/788/1/012028

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Abstract

The paper deals with nonlinear ordinary differential equations defined parametrically by two relations. It proposes techniques to reduce such equations, of the first or second order, to standard systems of ordinary differential equations. It obtains the general solution to some classes of nonlinear parametrically defined ODEs dependent on arbitrary functions. It outlines procedures for the numerical solution of the Cauchy problem for parametrically defined differential equations.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry Medicine
Publisher:	Institute of Physics
ISSN:	1742-6588
Last Modified:	02 Nov 2022 11:55
URI:	https://orca.cardiff.ac.uk/id/eprint/103565

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