Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicitly Solvable Systems of First-order Ordinary Differential
  Equations with Polynomial Right-hand Sides, and Their Periodic Variants   In this Letter we identify special systems of (an arbitrary number) N of
first-order Ordinary Differential Equations with homogeneous polynomials of
arbitrary degree M on their right-hand sides, which feature very simple
explicit solutions; as well as variants of these systems--with right-hand sides
no more homogeneous--which feature periodic solutions. A novelty of these
findings is to consider special systems characterized by constraints involving
both their parameters and their initial data.

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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph