Euler E430: Observations on the differential equation y dy + My dx + N dx = 0 | English translation | OMH v1.0

Abstract

English translation of Leonhard Euler's E430, Observations on the differential equation y dy + My dx + N dx = 0. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Official Euler Archive record, https://scholarlycommons.pacific.edu/euler-works/430/ ; Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, XVII for 1772 (Petropoli, 1773), pp. 105–124, https://archive.org/details/novicommentariia17impe ; Natural History Museum Library, London, via Biodiversity Heritage Library item 113651, https://www.biodiversitylibrary.org/item/113651 .