Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planar polynomial vector fields having a polynomial first integral can
  be obtained from linear systems   We consider in this work planar polynomial differential systems having a
polynomial first integral. We prove that these systems can be obtained from a
linear system through a polynomial change of variables.

35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph