%0 Journal Article
%A Chau Ngo, L. X.
%A Winkler, Franz
%A Sendra Pons, Juan Rafael
%T Classification of algebraic ODEs with respect to rational solvability
%D 2012
%U http://hdl.handle.net/10017/20449
%X In this paper, we introduce a group of affine linear transformations
and consider its action on the set of parametrizable algebraic ODEs. In
this way the set of parametrizable ODEs is partitioned into classes with an invariant
associated system, and hence of equal complexity in terms of rational
solvability. We study some special parametrizable ODEs: some well-known
and obviously parametrizable classses of ODEs, and some classes of ODEs
with special geometric shapes, whose associated systems are characterized by
classical ODEs such as separable or homogeneous ones.
%K Ciencia
%K Matemáticas
%K Science
%K Mathematics
%~ Biblioteca Universidad de Alcala