Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ordinary differential equations described by their Lie symmetry algebra   The theory of Lie remarkable equations, i.e. differential equations
characterized by their Lie point symmetries, is reviewed and applied to
ordinary differential equations. In particular, we consider some relevant Lie
algebras of vector fields on $\mathbb{R}^k$ and characterize Lie remarkable
equations admitted by the considered Lie algebras.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga