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How to solve the polynomial ordinary differential equations - MaRDI portal

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How to solve the polynomial ordinary differential equations (Q425417)

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scientific article; zbMATH DE number 6043866
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English
How to solve the polynomial ordinary differential equations
scientific article; zbMATH DE number 6043866

    Statements

    How to solve the polynomial ordinary differential equations (English)
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    8 June 2012
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    The author develops a theory for linear equations with constant coefficients. Based on this theory, he converts polynomial ordinary differential equations into first-order linear ordinary differential equations with constant coefficients and quadratic equations. General solutions of polynomial ordinary differential equations is also considered. Necessary and sufficient condition for the existence of a solution are discussed.
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    polynomial ordinary differential equations
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    general solution
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