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Symmetry classification of first integrals for scalar linearizable second-order ODEs - MaRDI portal

Symmetry classification of first integrals for scalar linearizable second-order ODEs (Q1952958)

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scientific article; zbMATH DE number 6169991
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Symmetry classification of first integrals for scalar linearizable second-order ODEs
scientific article; zbMATH DE number 6169991

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    Symmetry classification of first integrals for scalar linearizable second-order ODEs (English)
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    3 June 2013
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    The authors discuss how one can determine the relationship between the symmetries and the first integrals of linear or linearizable second-order scalar ODEs. A classification of point symmetries of first integrals for such linear ODEs is considered; there are cases with symmetry algebras with \(k\) generators, with \(0 \leq k \leq 3\), the maximal case is unique.
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    symmetry
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    first integrals
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    ODEs
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