On integrable by Euler planar differential systems
A.V. Tsiganov
TL;DR
This paper discusses the classical theory of differential equations as presented in Euler's foundational textbooks, focusing on integrable planar systems.
Contribution
It provides an analysis of Euler's classical approach to integrable planar differential systems based on his original textbooks.
Findings
Historical perspective on Euler's methods
Insights into classical integrability conditions
Connection between Euler's theory and modern differential equations
Abstract
The subject of our discussion is the theory of differential equations as set out in two classical Euler's textbooks "Institutiones Calculi Differentialis" and "Institutiones Calculi Integralis".
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