Highly Influenced

# 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} }

- 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

#### From This Paper

##### Topics from this paper.

1 Citations

5 References

Similar Papers

#### Citations

##### Publications citing this paper.

#### References

##### Publications referenced by this paper.

Showing 1-5 of 5 references