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Let R be a differential ring and let
be the following system of
ordinary algebraic differential equations:
![$(\eta)$](img62.gif)
={
P=
![$P(y,y^{(1)},\ldots,y^{(n)},z_{1},\ldots,z_{h},v_{1},\ldots,v_{k})$](img49.gif)
=0,
zi(1)-
Qi(1)zi=0,
Rjvj(1)-
Rj(1)=0,
![$i=1,\ldots,h$](img7.gif)
,
![$j=1,\ldots,k$](img8.gif)
}.
with
,
,
ord(Qi)=qi and
ord(Rj)=rj for
all i and j.
First of all in the following subsubsection an elimination procedure of one
differential variable will be shown.
IMACS ACA'98 Electronic Proceedings