Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence and integrability of second order linear ODEs   We consider a class of linear ODEs of second order with variable coefficients
and construct its Lie algebra of Lie group of equivalence transformations.
Further we find invariants and differential invariants of this Lie algebra and
by using them we formulate criteria of equivalence of the equations under
consideration. These criteria enable us to characterize some classes integrable
in quadratures.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin