2 papers
math-ph2011
Improving a family of Darboux methods for rational second order ordinary differential equations
L. G. S. Duarte, L. A. C. P. da Mota
We have been working in many aspects of the problem of analyzing, understanding and solving ordinary differential equations (first and second order). As we have extensively mention…
math-ph2005
Finding Elementary First Integrals for Rational Second Order Ordinary Differential Equations
J. Avellar, L. G. S. Duarte, S. E. S. Duarte +1
Here we present an algorithm to find elementary first integrals of rational second order ordinary differential equations (SOODEs). In \cite{PS2}, we have presented the first algori…