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arXiv · 2302.07083

A Classification of First Order Differential Equations

Partha Kumbhakar·Ursashi Roy·Varadharaj R. Srinivasan
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Abstract

Let $k$ be a differential field of characteristic zero with an algebraically closed field of constants. In this article, we provide a classification of first order differential equations over $k$ and study the algebraic dependence of solutions of a given first order differential equation. Our results generalize parts of the work of Noordman et al. (MR4378074) and complements the work of Freitag et al. (MR4506775).

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Partha Kumbhakar, Ursashi Roy, Varadharaj R. Srinivasan. 2023-02-12. A Classification of First Order Differential Equations. https://arxiv.org/abs/2302.07083

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