Cauchy–Euler equation

en

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Cauchy–Euler equation

Quality:

Cauchy–Euler equation - linear homogeneous ordinary differential equation. Article “Cauchy–Euler equation” in English Wikipedia has 29.6 points for quality (as of July 1, 2025). The article contains 4 references and 9 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Cauchy–Euler equation”, its content was written by 56 registered users of English Wikipedia and edited by 243 registered Wikipedia users in all languages.

The article is cited 17 times in English Wikipedia and cited 358 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #72829 in August 2005
  • Global: #71760 in November 2004

The highest popularity rank from 2008:

  • Local (English): #152077 in November 2019
  • Global: #157935 in November 2018

There are 17 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Cauchy–Euler equation
29.6262
2Hindi (hi)
कौशी-आयलर समीकरण
27.2877
3Czech (cs)
Eulerova rovnice
18.895
4Portuguese (pt)
Equação de Euler-Cauchy
16.5938
5Azerbaijani (az)
Koşi-Eyler tənliyi
15.1698
6Hebrew (he)
משוואת קושי-אוילר
10.1932
7German (de)
Eulersche Differentialgleichung
9.2244
8Ukrainian (uk)
Рівняння Коші — Ейлера
8.0958
9Russian (ru)
Уравнение Коши — Эйлера
7.7336
10Chinese (zh)
柯西-歐拉方程
7.2703
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Cauchy–Euler equation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cauchy–Euler equation
854 014
2German (de)
Eulersche Differentialgleichung
142 261
3Italian (it)
Equazione di Eulero
76 771
4Chinese (zh)
柯西-歐拉方程
74 529
5Russian (ru)
Уравнение Коши — Эйлера
63 605
6Portuguese (pt)
Equação de Euler-Cauchy
55 393
7Korean (ko)
코시-오일러 방정식
55 356
8French (fr)
Équation différentielle d'Euler
50 832
9Polish (pl)
Równanie różniczkowe Eulera
49 328
10Czech (cs)
Eulerova rovnice
46 614
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Cauchy–Euler equation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cauchy–Euler equation
2 243
2Spanish (es)
Ecuación de Cauchy-Euler
449
3Russian (ru)
Уравнение Коши — Эйлера
382
4Italian (it)
Equazione di Eulero
322
5Hebrew (he)
משוואת קושי-אוילר
245
6German (de)
Eulersche Differentialgleichung
241
7Chinese (zh)
柯西-歐拉方程
233
8Czech (cs)
Eulerova rovnice
214
9French (fr)
Équation différentielle d'Euler
209
10Portuguese (pt)
Equação de Euler-Cauchy
208
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Cauchy–Euler equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cauchy–Euler equation
56
2German (de)
Eulersche Differentialgleichung
31
3Russian (ru)
Уравнение Коши — Эйлера
23
4French (fr)
Équation différentielle d'Euler
19
5Polish (pl)
Równanie różniczkowe Eulera
18
6Italian (it)
Equazione di Eulero
16
7Hebrew (he)
משוואת קושי-אוילר
14
8Korean (ko)
코시-오일러 방정식
13
9Chinese (zh)
柯西-歐拉方程
11
10Portuguese (pt)
Equação de Euler-Cauchy
10
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Cauchy–Euler equation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Azerbaijani (az)
Koşi-Eyler tənliyi
0
2Czech (cs)
Eulerova rovnice
0
3German (de)
Eulersche Differentialgleichung
0
4English (en)
Cauchy–Euler equation
0
5Spanish (es)
Ecuación de Cauchy-Euler
0
6Persian (fa)
معادله کوشی–اویلر
0
7French (fr)
Équation différentielle d'Euler
0
8Hebrew (he)
משוואת קושי-אוילר
0
9Hindi (hi)
कौशी-आयलर समीकरण
0
10Hungarian (hu)
Euler-féle differenciálegyenlet
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Cauchy–Euler equation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
柯西-歐拉方程
96
2Polish (pl)
Równanie różniczkowe Eulera
46
3French (fr)
Équation différentielle d'Euler
42
4Portuguese (pt)
Equação de Euler-Cauchy
42
5Ukrainian (uk)
Рівняння Коші — Ейлера
39
6Persian (fa)
معادله کوشی–اویلر
19
7English (en)
Cauchy–Euler equation
17
8Hindi (hi)
कौशी-आयलर समीकरण
15
9Italian (it)
Equazione di Eulero
8
10German (de)
Eulersche Differentialgleichung
6
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
azAzerbaijani
Koşi-Eyler tənliyi
csCzech
Eulerova rovnice
deGerman
Eulersche Differentialgleichung
enEnglish
Cauchy–Euler equation
esSpanish
Ecuación de Cauchy-Euler
faPersian
معادله کوشی–اویلر
frFrench
Équation différentielle d'Euler
heHebrew
משוואת קושי-אוילר
hiHindi
कौशी-आयलर समीकरण
huHungarian
Euler-féle differenciálegyenlet
itItalian
Equazione di Eulero
koKorean
코시-오일러 방정식
plPolish
Równanie różniczkowe Eulera
ptPortuguese
Equação de Euler-Cauchy
ruRussian
Уравнение Коши — Эйлера
ukUkrainian
Рівняння Коші — Ейлера
zhChinese
柯西-歐拉方程

Popularity rank trends

Best Rank English:
#152077
11.2019
Global:
#157935
11.2018

AI rank trends

Best Rank English:
#72829
08.2005
Global:
#71760
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cauchy–Euler equation from Wikipedia articles about List of things named after Leonhard Euler, Eulersche Gleichungen, Black–Scholes equation, List of named differential equations and Augustin-Louis Cauchy. Whereas reading the article about Cauchy–Euler equation people most often go to Wikipedia articles on Reduction of order, Cauchy–Euler operator, Hypergeometric function, Ordinary differential equation and Laplaces equation.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information