Integration of Special Linear Equations of the Second Order |
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Authors: | Chichurin A V |
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Institution: | (1) Brest State University, Brest, Belarus |
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Abstract: | Under certain conditions on the coefficients, the Chazy equation with constant coefficients reduces to a second-order linear differential equation with six singular points. Investigating this equation with the use of the Schwarz derivative, we obtain linear equations in which some of these six singular points coincide. An integration procedure for these equations is considered. Their general solutions are obtained in explicit form. |
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