E62 -- De integratione aequationum differentialium altiorum graduum
(On the integration of differential equations of various degrees)
Euler talks about the resolution of improper integrals into infinite products, as he also does in
E59 and E60.
According to C. G. J. Jacobi, a treatise with this
title was presented to the Berlin Academy on September 6, 1742.
Originally published in Miscellanea Berolinensia 7, 1743, pp. 193-242
Opera Omnia: Series 1, Volume 22, pp. 108 - 149
- E62 can be viewed or downloaded from Digitalisierte Akademieschriften und Schriften zur Geschichte der Königlich Preußischen Akademie der Wissenschaften, which includes serial publications of the Prussian Academy of Science in the 18th and 19th Centuries.
- German translation (Alexander Aycock and Artur Diener): E62
- 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 E62 include:
- Katz VJ., “The calculus of the trigonometric functions.” Historia Mathematica, 14 (4), pp. 311-324 (Nov 1987).
- Struppa DC., “The fundamental principle for systems of convolution equations.” Memoirs of the American Mathematical Society, 41 (273), pp. 1-167 (1983).
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