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Avellar, J.; Duarte, L. G. S.; Duarte, S. E. S.; da Mota, L. A. C. P.

Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method. (English) Zbl 1071.65095

J. Comput. Appl. Math. 182, No. 2, 327-332 (2005).
Summary: We present a semi-algorithmic method to deal with rational first-order ordinary differential equations, with Liouvillian solutions. This method is based on the knowledge of the general structure for the integrating factor for such equations.

Cited in 7 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Keywords:

Integrating factor; Liouvillian functions; Integrability by quadratures; First-order ordinary differential equations; numerical example; semi-algorithmic method

Software:

Lsolver
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Full Text: DOI

References:

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