Article ID: CBB001320027

Who Solved the Bernoulli Differential Equation and How Did They Do It? (2013)


The Bernoulli brothers, Jacob and Johann, and Leibniz: Any of these might have been first to solve what is called the Bernoulli differential equation. We explore their ideas and the chronology of their work, finding out, among other things, that variation of parameters was used in 1697, 78 years before 1775, when Lagrange introduced it in general.

Citation URI

Similar Citations

Article Peiffer, Jeanne; (2006)
Jacob Bernoulli, maître et rival de son frère Johann (/isis/citation/CBB001021364/)

Book Paolo Freguglia; Mariano Giaquinta; (2016)
The Early Period of the Calculus of Variations (/isis/citation/CBB578052686/)

Article Meusnier, Norbert; (2006)
Nicolas, neveu exemplaire (/isis/citation/CBB001021370/)

Article Bernoulli, Jacob; Leibniz, Gottfried; (2006)
Quelques échanges? (/isis/citation/CBB001021367/)

Book Goldenbaum, Ursula; Jesseph, Douglas; (2008)
Infinitesimal Differences: Controversies between Leibniz and His Contemporaries (/isis/citation/CBB000950297/)

Article Capecchi, Danilo; (2004)
Leibniz e la resistenza delle travi (/isis/citation/CBB000770303/)

Article García Alonso, Marta; Teira Serrano, David; (2006)
The Theology of Large Numbers: A Conjecture (/isis/citation/CBB001021365/)

Article Guilbaud, Alexandre; (2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert (/isis/citation/CBB000933175/)

Article Pradier, Pierre-Charles; (2006)
De usu artis conjectandi in jure: quid de oeconomia (politica)? (/isis/citation/CBB001021374/)

Article Nauenberg, M.; (2010)
The Early Application of the Calculus to the Inverse Square Force Problem (/isis/citation/CBB001021999/)

Article Bru, Bernard; (2006)
The Bernoulli Code (/isis/citation/CBB001021363/)

Article Boswell, Terry; (1990)
The brothers James and John Bernoulli on the parallelism between logic and algebra (/isis/citation/CBB000047509/)

Book Justin E. H. Smith; (2015)
Nature, Human Nature, and Human Difference: Race in Early Modern Philosophy (/isis/citation/CBB092443917/)

Article François Duchesneau; (2019)
Le recours aux principes architectoniques dans la Dynamica de Leibniz (/isis/citation/CBB978969993/)

Chapter Ferriani, Maurizio; (1982)
Leibniz, Bernoulli, il possibile e il probabile (/isis/citation/CBB000054700/)

Authors & Contributors
Bernoulli, Jacob
Mariano Giaquinta
Charlotte Wahl
Sylla, Edith Dudley
Smith, Justin E. H.
Serrano, David Teira
Journal Electronique d'Histoire des Probabilités et de la Statistique
Revue d'Histoire des Sciences
Perspectives on Science
Nuncius: Annali di Storia della Scienza
History and Philosophy of Logic
Bollettino di Storia delle Scienze Matematiche
Walter de Gruyter
Steiner Verlag Wiesbaden
Springer International
Princeton University Press
Probability and statistics
Motion (physical)
Leibniz, Gottfried Wilhelm von
Bernoulli, Jakob
Bernoulli, Johann
Bernoulli, family
Newton, Isaac
Hermann, Jakob
Time Periods
17th century
18th century
20th century
Oxford (England)
Basel (Switzerland)
London (England)
Cambridge (England)
Paris (France)

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment