Author ' s personal copy Differential elimination with Dixon resultants q

@inproceedings{Yang2012AuthorS,
  title={Author ' s personal copy Differential elimination with Dixon resultants q},
  author={Lu Yang and Zhenbing Zeng and Weinian Zhang},
  year={2012}
}
In this paper we apply the idea of Dixon resultant to algebraic differential equations and introduce the Dixon differential resultant. We prove that a necessary condition for the existence of a common solution of two algebraic differential equations is that the differential resultant is equal to zero, which actually provides a method of elimination and reduces a system of multi-variate differential equations to a system of single-variate differential equations. This result is also generalized… CONTINUE READING

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