Talk:Bernoulli differential equation
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Renaming the "Bernoulli equation" article to a "Bernoulli differential equation"
[edit]Can someone explain the difference with Bernoulli's equation? Samw 00:58, 24 May 2005 (UTC)
- I don't know about the physics one, but one difference I can point is, the mathematics article deals with a differential equation, and I think the physics one deals with a vanilla equation drini ☎ 04:59, 24 May 2005 (UTC)
- I propose we rename the "Bernoulli equation" article to a "Bernoulli differential equation" to distinguish it from Bernoulli's equation. That's what Mathworld[1] calls it. The current name can be turned into a disambiguation page. As moves are somewhat difficult to undo, I will wait a week to see if there are any objections before proceeding. Samw 23:38, 24 May 2005 (UTC)
- Fine with me. Oleg Alexandrov 00:56, 25 May 2005 (UTC)
- Done. I disambig'd the obvious. I left generic links (like list of math topics) pointing to the disambig page. Samw 02:47, 3 Jun 2005 (UTC)
Spelling of Bernoulli
[edit]My differential equations professor always stressed that it was Bernouilli (with TWO i's), not Bernoulli. Are there two valid spellings? Dshin 18:09, 27 March 2006 (UTC)
- The article on the Bernoulli family says that "Bernouilli" is an obsolete French spelling:
— 2d37 (talk) 23:22, 13 September 2020 (UTC)In a tradition going back to the 18th century (Tronson du Coudray, L'artillerie nouvelle, 1773, p. 195), the name was spelled Bernouilli in France, and accordingly given the French pronunciation of [bɛʁnuˈji]. This is no longer the case, and the name is now spelled in the original form Bernoulli also in French-language context. Rue Bernoulli in Paris 8 was named rue Bernouilli in 1867 and renamed to the correct spelling in 1994 (v2asp.paris.fr). Bernoulli crater was spelled Bernouilli in the moon atlas by Beer & Mädler (1836), and hence adopted as the official name by the IAU in 1935; the IAU changed the official name to Bernoulli in 2003. The French submarine Bernouilli (1906) was named for Daniel Bernoulli.
— the Wikipedia article "Bernoulli family"
Link to the inventor?
[edit]Can someone who knows better than I please insert a link to the Bernoulli who invented these equations? Kwertii (talk) 21:14, 18 April 2009 (UTC)
- Done. -- Jitse Niesen (talk) 14:41, 21 April 2009 (UTC)
format of the equation
[edit]Is there a reason why in the introduction the differential equation is written differently compared to the chapter "solution" (the term P(x) is on different sides, exponent of y is named \alpha instead of n)? If not, I suggest to have the same form in both places.
Multivariate addition
[edit]An IP editor recently added the following (uncited, cleaned-up) text to the article: Multi-variable extensions of the Bernoulli differential equation are also found in the modeling of dynamic systems. A multi-variable Bernoulli differential equation is one of the form
where is a real number, is a column vector consisting of unknown functions which are the dependent variables of the equation. Matrices and are of appropriate dimensions and is the scalar independent variable.
Superficially this seems like it would be ok for the article, but it is not self-contained (what is ?) and I was not able to find any sources supporting its content. If someone else finds sources, I would suggest reinstating it as its own section near the end of the article. --JBL (talk) 20:07, 25 April 2023 (UTC)
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