E274 -- Constructio aequationis differentio-differentialis
\(Ay du^2 + (B+ Cu du dy + (D + Eu + Fuu)ddy) = 0\),
sumto elemento du constante
(Construction of the "differentio-differential" equation
\(Ay du^2 + (B+ Cu du dy + (D + Eu + Fuu)ddy) = 0\),
assuming the element \(du\) to be constant)
Summary:
According to C. G. J. Jacobi, a treatise with this title appears to have been read to the Berlin
Academy on November 9, 1758.
According to the records, it was presented to the St. Petersburg
Academy on October 15, 1759.
Publication:
-
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 8, 1763, pp. 150-156
-
Opera Omnia: Series 1, Volume 22, pp. 395 - 402
Documents Available:
- Original publication: E274
- 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 E274 include:
- Deakin Mab., “Euler invention of integral-transforms.” Archive for History of Exact Sciences, 33 (4), pp. 307-319 (1985).
- Deakin Mab., “The development of the Laplace transform, 1737-1937 Euler, L. to Spitzer, 1737-1880.” Archive for History of Exact Sciences, 25 (4), pp. 343-390 (1981).
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