An analytical solution of Monge differential equation

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dc.creatorTorres-Cordoba, Rafael
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:39Z
dc.date.available2026-07-07T08:31:39Z
dc.descriptionWe present the exact solution to the non linear Monge differential equation lambda(x, t)lambdax(x, t) = lambdat(x, t). It is widely accepted that the Monge equation is equivalent to the ODE d2X/dt2= 0 of free motion for particular conditions. Furthermore, the Monge Type equations are connected with X = F(dX/dt, X; t), which can be integrated with quadratures [1]. Other asymptotic solutions are discussed, see e.g. [2]. The solution was reached with calculations that depend upon dimensional representation, which is given by (x, t) coordinates. We present this analytical solution to the Monge differential equation as an implicit solution.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0709.3544
dc.identifierhttp://arxiv.org/abs/0709.3544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138563
dc.subjectMathematical Physics
dc.titleAn analytical solution of Monge differential equation
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