Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic planar algebraic vector fields are disintegrated   In this article, we study model-theoretic properties of algebraic
differential equations of order $2$, defined over constant differential fields.
In particular, we show that the set of solutions of a general differential
equation of order $2$ and of degree $d \geq 3$ in a differentially closed field
is strongly minimal and disintegrated.
  We also give two other formulations of this result in terms of algebraic
(non)-integrability and algebraic independence of the analytic solutions of a
general planar algebraic vector field.

3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ