E285 -- Investigatio functionum ex data differentialium conditione

(Investigation of functions from a given condition of differentials)

Summary:

Euler integrates many first-order partial differential equations with two independent variables.

According to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on March 8, 1759.

According to the records, it was presented to the St. Petersburg Academy on December 1, 1760.

Publication:

Originally published in Novi Commentarii academiae scientiarum Petropolitanae 9, 1764, pp. 170-212
Opera Omnia: Series 1, Volume 23, pp. 1 - 41

Documents Available:

Original publication: E285
Alexander Aycock has a draft translation into English, available online at Euler-Kreis Mainz.
The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E285 include:
- Demidov SS., “The study of partial-differential equations of the 1st order in the 18th and 19th centuries.” Archive for History of Exact Sciences, 26 (4), pp. 325-350 (1982).

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