E188 -- Methodus aequationes differentiales altiorum graduum integrandi ulterius promota
(Method of integrating differential equations of higher degrees, further developed)
Euler looks at the integration of nth-order ordinary linear differential equations with constant coefficients.
to the records, it was presented to the St. Petersburg Academy on September 21, 1750.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 3, 1753, pp. 3-35
Opera Omnia: Series 1, Volume 22, pp. 181 - 213
- Original publication: E188,
from the Göttinger Digitalisierungs-Zentrum, at Georg-August-Universität Göttingen
- German translation (Alexander Aycock and Artur Diener): E188
- 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 E188 include:
- 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).
- Ferraro G., “Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula.” Historia Mathematica, 25 (3), pp. 290-317 (Aug 1998).
- Katz VJ., “The calculus of the trigonometric functions.” Historia Mathematica, 14 (4), pp. 311-324 (Nov 1987).
Return to the Euler Archive