Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Extension to an Algebraic Method for Linear Time-Invariant System and
  Network Theory: The full AC-Calculus   Being inspired by phasor analysis in linear circuit theory, and its algebraic
counterpart - the AC-(operational)-calculus for sinusoids developed by W.
Marten and W. Mathis - we define a complex structure on several spaces of
real-valued elementary functions. This is used to algebraize inhomogeneous
linear ordinary differential equations with inhomogenities stemming from these
spaces. Thus we deduce an effective method to calculate particular solutions of
these ODEs in a purely algebraic way.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin