E269 -- De integratione aequationum differentialium
(On the integration of differential equations)
Euler integrates the equation Mdx + Ndy = 0 using the method of integrated factors; he treats the Riccati Equation as a
to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on June 12, 1755, and
another (or the same one?) on October 21, 1756.
According to the records, it was presented to the
St. Petersburg Academy on January 13, 1757.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 8, 1763, pp. 3-63
Opera Omnia: Series 1, Volume 22, pp. 334 - 394
- Original publication: E269
- Alexander Aycock has made a draft translation into English, available online at Euler-Kreis Mainz.
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