Talk:Bernoulli differential equation

Can someone explain the difference with Bernoulli's equation? Samw 00:58, 24 May 2005 (UTC)Reply

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)Reply

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)Reply

Fine with me. Oleg Alexandrov 00:56, 25 May 2005 (UTC)Reply

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)

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)Reply

The article on the Bernoulli family says that "Bernouilli" is an obsolete French spelling:

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"

— 2d37 (talk) 23:22, 13 September 2020 (UTC)Reply

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)Reply

Done. -- Jitse Niesen (talk) 14:41, 21 April 2009 (UTC)Reply

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.

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 ${\displaystyle Y'+P(x)Y=(Y^{T}MY)^{n}.Q(x)Y}$  where ${\displaystyle n}$  is a real number, ${\displaystyle Y}$  is a column vector consisting of unknown functions ${\displaystyle y_{1},\ldots ,y_{n}}$  which are the dependent variables of the equation. Matrices ${\displaystyle P}$  and ${\displaystyle Q}$  are of appropriate dimensions and ${\displaystyle x}$  is the scalar independent variable. Superficially this seems like it would be ok for the article, but it is not self-contained (what is ${\displaystyle M}$ ?) 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)Reply