Solving second order equations by extending the PS method

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dc.creatorDuarte, L. G. S.
dc.creatorda Mota, L. A.
dc.creatorSkea, J. E. F.
dc.date2000-01-03
dc.date.accessioned2026-07-07T10:06:48Z
dc.date.available2026-07-07T10:06:48Z
dc.descriptionAn extension of the ideas of the Prelle-Singer procedure to second order differential equations is proposed. As in the original PS procedure, this version of our method deals with differential equations of the form y''={M(x,y,y')}/{N(x,y,y')}, where M and N are polynomials with coefficients in the field of complex numbers C. The key to our approach is to focus not on the final solution but on the first-order invariants of the equation. Our method is an attempt to address algorithmically the solution of SOODEs whose first integrals are elementary functions of x, y and y'.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0001004
dc.identifierhttp://arxiv.org/abs/math-ph/0001004
dc.identifierJournal of Physics A. Mathematical and General, Inglaterra, v. 34, 2001.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170447
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleSolving second order equations by extending the PS method
dc.typetext

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