Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A family of quadratic polynomial differential systems with algebraic
  solutions of arbitrary high degree   We show that the algebraic curve $a_0(x)(y-r(x))+p_2(x)a'(x)=0,$ where $r(x)$
and $p_2(x)$ are polynomial of degree 1 and 2 respectively and $a_0(x)$ is a
polynomial solution of the convenient Fucsh's equation, is an invariant curve
of the quadratic planar differential system. We study the particular case when
$a_0(x)$ is an orthogonal polynomials. We prove that that in this case the
quadratic differential system is Liouvillian integrable.

27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs