Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the differential equation $y" - (b'(x)/2b(x))y' + \lambda b(x)y = 0$   The Hamilton-Jacobi method which can be used for solving this equation has
been presented. The solution of the equation suggests that there exist some
second order linear ordinary differential equations whose resolution can be
done by means of characteristic equation.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc