De integratione aequationis differentialis (m dx)/√(1–x⁴) = (n dy)/√(1–y⁴)

English Title

On the integration of the differential equations (m dx)/√(1–x⁴) = (n dy)/√(1–y⁴)

Authors

Leonhard Euler

Enestrom Number

251

Fuss Index

269

Original Language

Latin

Archive Notes

An Italian translation of this work has been done by Carmine Suriano.

Content Summary

Euler takes it for granted that the values of m and n in the title are such that m/n is rational. Euler also handles the cases where there is an arbitrary whole fourth-degree function or a special 6th-degree function under the radical sign.

Published as

Journal article

Published Date

1761

Written Date

1751

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 6, pp. 37-57.

Opera Omnia Citation

Series 1, Volume 20, pp.58-79.

Record Created

2018-09-25