Solving polynomial differential equations by transforming them to linear functional-differential equations

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dc.creatorNahay, John Michael
dc.date2008-10-16
dc.date2008-10-18
dc.date.accessioned2026-07-07T10:10:47Z
dc.date.available2026-07-07T10:10:47Z
dc.descriptionWe present a new approach to solving polynomial ordinary differential equations by transforming them to linear functional equations and then solving the linear functional equations. We will focus most of our attention upon the first-order Abel differential equation with two nonlinear terms in order to demonstrate in as much detail as possible the computations necessary for a complete solution. We mention in our section on further developments that the basic transformation idea can be generalized to apply to differential equations of any order, to a system of ordinary differential equations without first differentially eliminating the multiple dependent variables, and even to partial differential equations.
dc.description11 pages 0 figures Written for the Differential Algebra and Related Topics conference 2008 November 13-16, Newark, NJ, USA
dc.identifierhttps://arxiv.org/abs/0810.2846
dc.identifierhttp://arxiv.org/abs/0810.2846
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171693
dc.subjectRings and Algebras
dc.subjectClassical Analysis and ODEs
dc.subject12H05
dc.titleSolving polynomial differential equations by transforming them to linear functional-differential equations
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