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Solution to Rubel's question about differentially algebraic dependence on initial values

Guy Katriel
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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.

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Guy Katriel. 2002-11-28. Solution to Rubel's question about differentially algebraic dependence on initial values. https://arxiv.org/abs/math/0210472

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