On the integrability in finite terms of first-order differential equations according to Maximovic

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dc.creatorSchmidt, Karl Michael
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:29:20Z
dc.date.available2026-07-07T05:29:20Z
dc.descriptionWe give a definition of integration by quadratures of first-order ordinary differential equations, and recover a little known result by Maximovic which states that a first-order ordinary differential equation can be integrated by quadratures only if it arises from the linear equation by a diffeomorphic transformation of the dependent variable. In the appendix this result is applied to the linear second-order equation in a restricted setting. A brief outline of Maximovic's life is also included.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/9906013
dc.identifierhttp://arxiv.org/abs/math/9906013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78599
dc.subjectClassical Analysis and ODEs
dc.subject34A46;34A05;01A70
dc.titleOn the integrability in finite terms of first-order differential equations according to Maximovic
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