English Title

On differential equations which admit integration only in certain cases

Authors

Leonhard Euler

Enestrom Number

95

Fuss Index

252

Original Language

Latin

Published as

Journal article

Published Date

1747

Written Date

1738

Content Summary

Euler starts with a second-order linear differential equation with simple, rational coefficients and figures out which cases of this quantity, divided by infinite sequences, produce a quotient that can be integrated. Then he derives a first-order differential equation out of the given equation and gets a new integrable equation in this way. The Riccati differential equation appears as a special case.

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 10, pp. 40-55.

Opera Omnia Citation

Series 1, Volume 22, pp.162-180.

Record Created

2018-09-25

Included in

Mathematics Commons

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