Abstract
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.
Citation
Guy Katriel. "Solution to Rubel's question about differentially algebraic dependence on initial values." Illinois J. Math. 47 (4) 1261 - 1272, Winter 2003. https://doi.org/10.1215/ijm/1258138103
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