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- W1651293079 abstract "(Submitted to “European Journal of Applied Mathematics” - July 2000)AbstractAn algorithm for solving first order ODEs, by systematically determining symmetries of the form[ξ = F(x), η = P(x)y+Q(x)] - where ξ ∂/∂x+η ∂/∂y is the symmetry generator - is presented. To theselinear symmetries one can associate an ODE class which embraces all first order ODEs mappable intoseparable through linear transformations {t = f(x), u = p(x)y + q(x)}. This single ODE class includesas members, for instance, 78% of the 552 solvable first order examples of Kamke’s book. Concerningthe solving of this class, a restriction on the algorithm being presented exists only in the case of Riccatitype ODEs, for which linear symmetries always exist but the algorithm will succeed in finding them onlypartially." @default.
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- W1651293079 date "2000-07-15" @default.
- W1651293079 modified "2023-09-27" @default.
- W1651293079 title "First order ODEs, Symmetries and Linear Transformations" @default.
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