A criterion for existence of rational general solutions of planar systems of ODEs ∗

@inproceedings{Chau2009ACF,
  title={A criterion for existence of rational general solutions of planar systems of ODEs ∗},
  author={Ngo Lam Xuan Chau},
  year={2009}
}
  • Ngo Lam Xuan Chau
  • Published 2009
In the paper [Ngo09] we have studied the algebraic ODE of first order F (x, y, y′) = 0, where F ∈ Q[x, y, z], given its proper rational parametrization of the corresponding surface F (x, y, z) = 0. Using this proper parametrization we deduced the problem of finding rational general solutions of the equation F (x, y, y′) = 0 to finding rational general solutions of its associated system of ODEs in two new indeterminates s, t. This is a planar autonomous system of first order in s, t and of first… CONTINUE READING

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