Solution to Rubel's question about differentially algebraic dependence on initial values
Katriel, Guy
Illinois J. Math., Volume 47 (2003) no. 4, p. 1261-1272 / Harvested from Project Euclid
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We prove that, for generic systems of polynomial differential equations, the dependence of the solution on the initial conditions is not differentially algebraic. This answers, in the negative, a question posed by L.A. Rubel.
Published online : 2003-10-15
Classification:  34A09,  12H05 
@article{1258138103,
     author = {Katriel, Guy},
     title = {Solution to Rubel's question about differentially algebraic dependence on initial values},
     journal = {Illinois J. Math.},
     volume = {47},
     number = {4},
     year = {2003},
     pages = { 1261-1272},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138103}
}

Katriel, Guy. Solution to Rubel's question about differentially algebraic dependence on initial values. Illinois J. Math., Volume 47 (2003) no. 4, pp.  1261-1272. http://gdmltest.u-ga.fr/item/1258138103/