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An algorithm for solving second order linear homogeneous differential equations. (English) Zbl 0603.68035
Summary: In this paper we present an algorithm for finding a “closed-form” solution of the differential equation $y''+ay'+by$, where $a$ and $b$ are rational functions of a complex variable $x$, provided a “closed-form” solution exists. The algorithm is so arranged that if no solution is found, then no solution can exist.

68W30Symbolic computation and algebraic computation
34A05Methods of solution of ODE
Full Text: DOI
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