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Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\) - MaRDI portal

Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\) (Q2111693)

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scientific article; zbMATH DE number 7642826
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English
Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\)
scientific article; zbMATH DE number 7642826

    Statements

    Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\) (English)
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    17 January 2023
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    critical points
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    integrability
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    Gegenbauer equation
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    Legendre equation
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    Liénard equation
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    Identifiers