PolyAgent/wiki_arabic_en_parallel_20231101 huggingface dataset:
Billy Kinard

Billy Kinard
Billy Russell Kinard (December 16, 1933 – June 30, 2018) was an American football player and coach. He played professionally as a defensive back for the Cleveland Browns and Green Bay Packers of the National Football League (NFL) and the Buffalo Bills of the American Football League (AFL). Kinard played college football at the University of Mississippi (Ole Miss) before being drafted by the Cleveland Browns in the second round of the 1956 NFL Draft. He played professionally for four seasons and retired in 1960. Kinard later served as the head football coach at Ole Miss from 1971 to 1973 and at Gardner–Webb University in 1978, compiling a career coaching record of 20–14–1.
Coaching career
In 1970, Kinard's older brother, a former Ole Miss and NFL star, Frank "Bruiser" Kinard, became the athletic director at Ole Miss. He hired the younger Kinard to be the new Ole Miss Rebels football coach. Billy Kinard was the head coach when Ole Miss football became integrated. It was said that Johnny Vaught had swore to never integrate the football team. So, Billy was brought in to specifically do this. After the third contest of the 1973 season, Johnny Vaught replaced Kinard, returning for his second stint as Ole Miss' athletic director and head football coach.
Head coaching record
See also
List of American Football League players
Notes
References
External links
1933 births
2018 deaths
American football defensive backs
American football halfbacks
Arkansas Razorbacks football coaches
American Football League players
Auburn Tigers football coaches
Buffalo Bills players
Cleveland Browns coaches
Cleveland Browns players
Florida Gators football coaches
Gardner–Webb Runnin' Bulldogs football coaches
Georgia Bulldogs football coaches
Green Bay Packers coaches
Green Bay Packers players
New England Patriots coaches
Ole Miss Rebels football coaches
Ole Miss Rebels football players
High school football coaches in Florida
Coaches of American football from Mississippi
Players of American football from Jackson, Mississippi
Chile–Haiti relations

Chile–Haiti relations are the bilateral relations between Chile and Haiti. Both countries are members of Organization of American States.
Visits
In March 2006, Haitian president-elect, René Préval, visited Chile to attend the inauguration ceremony for Chile's president Michelle Bachelet. In June 2006, President Bachelet visited Haitian President Preval. Bachelet pledged to "continue offering support so that every Haitian has a better chance to have health care, education and housing." Bachelet was the first head of state to visit Haiti since Preval took power in May. Bachelet said that she "would discuss with Preval the possibility of keeping Chilean forces in the country longer if needed, saying a stable Haiti was vital to regional security." In 2017, President Michelle Bachelet paid a visit to Haiti and met with President Jovenel Moïse.
Political relations
In February 1973, Chile granted temporary residency to 15 Haitian political exiles involved in the kidnapping of the United States ambassador and consul in Port-au-Prince in January that year.
In 1994, Chile together with Uruguay and Venezuela agreed to assist to make a peace deal. Haiti's military rulers endorsed the initiative.
In 1999, three Haitian parliamentarians requested political asylum in Chile. These parliamentarians took refuge at the Chilean embassy.
Chilean assistance
As part of the response to the 2004 floods, Chilean troops were involved in a multinational force of 3,600 together with U.S. Marines, French, and Canadian troops.
Chilean search and rescue experts were involved in recovery efforts for the 2010 Haiti earthquake. Chilean Army Major Rodrigo Vázquez directed rescue efforts for the earthquake.
Chilean troops in Haiti
Chilean Brigadier General Eduardo Aldunate Herman was the vice commander of the United Nations peacekeeping mission in Haiti.
Chile sent 650 peacekeeping troops to the island as part of the United Nations peace keeping mission. Praising the work of the Chilean policemen in Haiti, National Police official Javiera Blanco said, "Even though today there is a need for the key presence of this mission, which is in mid term, the exit should be prepared for, considering that the country (Haiti) must take those responsibilities and build their capacities to do what is done by our mission." The police are planned to withdraw from Haiti in 2011.
Resident diplomatic missions
Chile has an embassy in Port-au-Prince.
Haiti has an embassy in Santiago.
See also
Foreign relations of Chile
Foreign relations of Haiti
References
Haiti
Bilateral relations of Haiti
AFF3

AFF3
AF4/FMR2 family member 3 is a protein that in humans is encoded by the AFF3 gene.
Function
This gene encodes a tissue-restricted nuclear transcriptional activator that is preferentially expressed in lymphoid tissue. Isolation of this protein initially defined a highly conserved LAF4/MLLT2 gene family of nuclear transcription factors that may function in lymphoid development and oncogenesis. In some ALL patients, this gene has been found fused to the gene for MLL. Multiple alternatively spliced transcript variants that encode different proteins have been found for this gene.
References
External links
Further reading
ريتشل مارلي

ريتشل مارلي هي مغنية أسترالية، ولدت في 26 أبريل 1990 في سيدني في أستراليا.
مراجع
وصلات خارجية
مغنون أستراليون في القرن 21
مغنون من سيدني
مغنيات أستراليات
مغنيات في القرن 21
مواليد 1990
مغنيات أستراليات في القرن 21
جون دوران (لاعب كرة قدم)

جون دوران (لاعب كرة قدم)
جون دوران (مواليد 13 ديسمبر 2003) هو لاعب كرة قدم كولومبي يلعب في مركز الجناح في نادي أستون فيلا.
مراجع
روابط خارجية
أشخاص على قيد الحياة
رياضيون كولومبيون مغتربون في الولايات المتحدة
رياضيون كولومبيون مغتربون في إنجلترا
لاعبو الدوري الأمريكي لكرة القدم
لاعبو الدوري الإنجليزي الممتاز
لاعبو الدوري الكولومبي لكرة القدم الدرجة الأولى
لاعبو أستون فيلا
لاعبو شيكاغو فاير
لاعبو كرة قدم رجالية كولومبيون
لاعبو كرة قدم رجالية كولومبيون مغتربون
لاعبو كرة قدم رجالية مغتربون في الولايات المتحدة
لاعبو كرة قدم رجالية مغتربون في إنجلترا
لاعبو كرة قدم كولومبيون
لاعبو كرة قدم مغتربون في الولايات المتحدة
لاعبو كرة قدم مغتربون في إنجلترا
لاعبو كرة قدم مغتربون كولومبيون
لاعبو كرة قدم من ميديلين
لاعبو منتخب كولومبيا لكرة القدم
لاعبو منتخب كولومبيا لكرة القدم للشباب
لاعبو نادي إنفيغادو
مهاجمو كرة قدم رجالية
نهائي كأس الأمم الإفريقية 2013

نهائي كأس الأمم الإفريقية 2013
نهائي كأس الأمم الأفريقية 2013 هي مباراة في كرة القدم أقيمت في 10 فبراير 2013 لتحديد الفائز بكأس الأمم الأفريقية لكرة القدم 2013 التي تجري أحداثها بجنوب أفريقيا تحت إشراف الاتحاد الأفريقي لكرة القدم. تقرر أن تجري المباراة بملعب البنك الوطني الأول في جوهانسبورغ.جرت المباراة بين نيجيريا وبوركينافاسو وفازت نيجيريا بنتيجة 1-0.
المشوار إلى النهائي
معطيات المباراة
المراجع
وصلات خارجية
كأس الأمم الأفريقية لكرة القدم 2013
أحداث فبراير 2013 الرياضية في إفريقيا
جوهانسبرغ في عقد 2010
كأس الأمم الإفريقية 2013
كرة القدم النيجيرية في 2012-13
مباريات منتخب بوركينا فاسو الوطني لكرة القدم
مباريات منتخب نيجيريا لكرة القدم
نهائيات كأس الأمم الإفريقية
James Cochran (New York politician)

James Cochran (New York politician)
James Cochran (February 11, 1769 – November 7, 1848) was an American politician and a member of the United States House of Representatives from New York.
Early life
Cochran was born in Albany, New York on February 11, 1769, the son of John Cochran (1730–1807) and Gertrude Schuyler (1724–1813). His brother was Walter Livingston Cochran (1771–1857), father of General, congressman, and New York State Attorney General John Cochrane, and his maternal uncle was General Philip Schuyler. He graduated from Columbia College in New York City in 1788.
Career
He studied law, was admitted to the bar, and was commissioned as a major in the Army by President John Adams. He was a regent of the University of the State of New York from 1796 to 1820.
James Cochran was elected as a Federalist to the Fifth Congress, March 4, 1797 to March 3, 1799, succeeding Judge William Cooper, father of James Fenimore Cooper, the author.
He was a member of the New York State Senate from 1814 to 1818. He moved to Oswego, New York in 1826 and served as the city's postmaster from September 27, 1841 to July 21, 1845. For several years, he was the editor of the Oswego Democratic Gazette.
Personal life
He was first married to Eleanor P. Barclay, granddaughter of John Barclay of Philadelphia, on July 14, 1798. She died young.
In 1822, James Cochran married his first cousin, Catherine Van Rensselaer Schuyler (1781–1857), the youngest daughter of Philip Schuyler and Catharine Van Rensselaer. Catharine Schuyler was the widow of Samuel Bayard Malcolm (1776–1814), with whom she had two sons. Malcolm was a son of William Malcolm and served as Adam's secretary during his presidency. Through this marriage, he was the brother-in-law (and cousins) of Angelica Schuyler (1756–1814) and John Barker Church (1748–1818); Elizabeth Schuyler (1757–1854) and Alexander Hamilton (1755/7–1804); and Margarita "Peggy" Schuyler (1758–1801) and Stephen Van Rensselaer III (1764–1839), 9th Patroon of Rensselaerswyck. Together, Catherine and James were said to have had one child.
Cochran died in Oswego on November 7, 1848 and was interred in Riverside Cemetery. His widow died in August 1857.
References
External links
1769 births
1848 deaths
Schuyler family
Columbia College (New York) alumni
New York (state) lawyers
United States Army officers
Regents of the University of the State of New York
Federalist Party members of the United States House of Representatives from New York (state)
New York (state) state senators
Editors of New York (state) newspapers
Burials in New York (state)
19th-century American newspaper editors
New York (state) postmasters
سينكوفين

سينكوفين Cinchophen (الأسماء التجارية Atophan، Quinophan، وPhenaquin) هو دواء مسكن لقد تم طرحه في عام 1910، وكثيرا ما يستخدم لعلاج النقرس. لا يزال يستخدم هذا الدواء في تركيبة مع البريدنيزولون، من قبل الأطباء البيطريين لعلاج التهاب المفاصل في الحيوانات.
توقف استخدام هذا الدواء في البشر في 1930s بسبب اكتشاف أنه يمكن أن يسبب أضرارا خطيرة في الكبد.
هناك بعض الأدلة على أنه يحفز C-فوس C-Fos
المصادر
أحماض عطرية
مسكنات ألم
كينولينات
الطاقة في أذربيجان

الطاقة في أذربيجان تتمثل في إنتاج واستهلاك وتصدير الطاقة والكهرباء. تعمل وزارة الطاقة الأذربيجانية في قضايا الطاقة والصناعات .
في عام 2015 ، بلغ إجمالي استهلاك الطاقة في البلاد 14.5 مليون طن من معادل النفط. في عام 2016 ، ظل هذا الرقم مستقراً - 14.5 مليون.يمكن تقسيم هذا الرقم إلى المكونات التالية: كان استهلاك النفط 4.5 مليون طن ، والغاز- 9.6 مليون دولار ، والطاقة الكهرومائية - 0.4 مليون طن من معادل النفط.
النفط
الإنتاج: - (2008)
الاستهلاك: - (2007)
أذربيجان لديها احتياطيات نفطية كبيرة. بدأ استغلال حقول النفط في المنطقة في منتصف القرن التاسع عشر . في بداية عام 2015 ، بلغ إجمالي حجم حقول النفط المعروفة 7 مليارات برميل. وكان متوسط إنتاج النفط اليومي في عام 1998 يبلغ 194 ألف برميل، في عام 2004 - 318 ألف برميل، في عام 2015 - حوالي 860 ألف برميل.
في عام 1994، عندما تم توقيع " عقد القرن "، كانت احتياطيات استكشاف النفط الأذربيجاني 511 مليون طن. في عام 1996، قدرت احتياطيات النفط من المصادر الرسمية بـ 1.2 مليار برميل. في نهاية عام 2006، ارتفعت هذه الأرقام إلى 7 مليارات برميل، وبحلول نهاية عام2016، قدرت الاحتياطيات باستمرار بنحو 7 مليارات برميل. لعام 2016، بلغ إجمالي احتياطي النفط في أذربيجان 0.4٪ من إجمالي الاحتياطيات العالمية.
الكهرباء
الإنتاج: 19.44 بليون ك.و/س (2011)
الاستهلاك: 13.57 بليون ك.و/س (2011)
محطات الطاقة الهيدروليكية
محطة إنيكند للطاقة الهيدرولوكية- 112 م.و
محطة مينكجفير للطاقة الهيدرولوكية - 402 م.و
محطة سارسانگ للطاقة الهيدرولوكية - 50 م.و
محطة شامكير للطاقة الهيدرولوكية- 380 م.و
مراجع
اقتصاد أذربيجان
طاقة في أذربيجان
2013–14 First League of the Republika Srpska

2013–14 First League of the Republika Srpska
The 2013–14 First League of the Republika Srpska is the eighteenth season of the First League of the Republika Srpska, the second tier football league of Bosnia and Herzegovina, since its original establishment and the eleventh as a second-tier league. It will begin on 17 August 2013 and end on 25 May 2014; a winter break where no matches are played will be in effect between 10 November 2013 and 16 March 2014. Mladost (VO) were the last champions, having won their one championship title in the 2012–13 season and earning a promotion to Premier League of Bosnia and Herzegovina.
Fourteen clubs are participating in this session, ten returning from the previous session, one relegated from Premier League of Bosnia and Herzegovina, two promoted from two regional Second League of the Republika Srpska.
Changes from last season
Team changes
From First League of the RS
Promoted to Premier League
Mladost (VO)
Relegated to one of 2 respective regional Second League of the RS
Ljubić (Second League of the RS – West)
To First League of RS
Relegated from Premier League
---
Promoted from two regional Second League of the RS
Napredak (DŠ) (Second League of the RS – East)
Stadions and locations
References
Bos
2013–14 in Bosnia and Herzegovina football
First League of the Republika Srpska seasons
ستيفانو بونو

ستيفانو بونو هو لاعب كرة قدم إيطالي، ولد في 18 يونيو 1979 في في إيطاليا. شارك مع منتخب إيطاليا تحت 17 سنة لكرة القدم. أما مع النوادي، فقد لعب مع نادي أسكولي ونادي أنكونا ونادي بريشيا ونادي بيزا ونادي ريجيانا 1919 ونادي فينيزيا ونادي لوكيزي ونادي ليكو.
مراجع
وصلات خارجية
لاعبو وسط كرة قدم رجالية
لاعبو أسكولي
لاعبو الدوري الإيطالي
لاعبو الدوري الإيطالي الدرجة الثانية
لاعبو بريشيا
لاعبو بيزا
لاعبو فينيزيا
لاعبو كرة قدم إيطاليون
لاعبو لوتشيزي
لاعبو ليتشو
لاعبو نادي أنكونا لكرة القدم
لاعبو نادي ريجينا 1919
مواليد 1979
(37223) 2000 WD142

(37223) 2000 WD142
2000 دابليو دي 142 (ويعرف أيضًا باسم (37223) 2000 دابليو دي 142 وفق تسمية الكوكب الصغير) ؛ هو كويكب ضمن حزام الكويكبات.
اكتُشف هذا الجُرم الفلكي بواسطة مرصد لويل للبحث عن الأجرام القريبة من الأرض في 20 نوفمبر 2000، وترتيبه 37223 من حيث الاكتشاف.
الوصف
اكتُشف في 20 نوفمبر 2000 في مرصد محطة أندرسون ميسا، الواقع في مقاطعة كوكونينو، أريزونا في الولايات المتحدة، بواسطة مشروع مرصد لويل للبحث عن الأجرام القريبة من الأرض . وقد رصد المشروع 1,259 مشاهدة للكويكب إلى غاية 7 أكتوبر 2021 بتوقيت منطقة المحيط الهادئ، أي في مدة قدرها 8,975 يومًا (24.6 عام). تستغرق الفترة المدارية للكويكب 1,610 يومًا (4.4 عام).
الخصائص المدارية
يتميز مدار هذا الكويكب بنصف محور رئيسي يبلغ 2.69 وحدة فلكية، وحضيض قدره 2.37 وحدة فلكية، وانحراف قدره 0.121 وزاوية ميلان 13.9 درجة بالنسبة لمسار الشمس. بسبب هذه الخصائص، أي نصف المحور الرئيسي بين 2 و3.2 وحدة فلكية وحضيض أكبر من 1,666 وحدة فلكية، يُصنف هذا الجُرم الفلكي وفقًا لقاعدة بيانات مختبر الدفع النفاث لأجرام النظام الشمسي الصغيرة كائنًا من حزام الكويكبات الرئيسي.
الخصائص الفيزيائية
يُقدر القدر المطلق (H) لـ بـ14.71 ووضاءته بـ0.221، مما يمكِّن تقدير قطره بـ 3.558كم. استُخلصت هذه النتائج بفضل ملاحظات مستكشف الأشعة تحت الحمراء عريض المجال (WISE)، وهو مرصد فضائي أمريكي وُضع في المدار في عام 2009 ويراقب السماء بأكملها بالأشعة تحت الحمراء، في عام 2011، نُشرت النتائج الأولى المتعلقة بالكويكبات من الحزام الرئيسي.
انظر أيضًا
قائمة الكواكب الصغيرة
المراجع
وصلات خارجية
أجرام فلكية اكتشفت في 2000
اكتشافات مرصد لويل للبحث عن الأجرام القريبة من الأرض
حزام الكويكبات
كواكب صغيرة مسماة
Bolívar (footballer, born 1954)

Bolívar (footballer, born 1954)
Bolívar Modualdo Guedes (born 21 December 1954), known as Bolívar, is a Brazilian former footballer who played as a midfielder. He competed in the men's tournament at the 1972 Summer Olympics.
References
External links
Living people
1954 births
Footballers from Porto Alegre
Brazilian men's footballers
Men's association football midfielders
Brazil men's international footballers
Olympic footballers for Brazil
Footballers at the 1972 Summer Olympics
Heyden's gecko

Heyden's gecko (Hemidactylus robustus) is a species of geckos, family Gekkonidae, found in northeastern Africa and in the Middle East.
Distribution
It may be found in Egypt, Sudan, Eritrea, Ethiopia, Somalia, Kenya, Yemen, Oman, Qatar, Iraq, Iran, Saudi Arabia, United Arab Emirates and Pakistan.
Conservation status
In Egypt, it is expected to lose much of its currently suitable distribution in the future due to anthropogenic climate change.
Original publication
Heyden, 1827 : Atlas zu der Reise im nördlichen Afrika. I. Zoologie. Reptilien. H. L. Brönner, p. 1-24 (integrated text).
References
Hemidactylus
Reptiles described in 1827
Taxa named by Carl von Heyden
Reptiles of the Middle East
Reptiles of North Africa
Vertebrates of Egypt
Vertebrates of Eritrea
Reptiles of Ethiopia
Reptiles of Iran
Reptiles of Iraq
Reptiles of Kenya
Reptiles of the Arabian Peninsula
Reptiles of Pakistan
Reptiles of Somalia
Vertebrates of Sudan
Benjamin Hübner

Benjamin Hübner (born 4 July 1989) is a German former professional footballer who played as a defender.
Career
Early career
Born in Wiesbaden, Hübner made his professional debut in the 2. Bundesliga for Wehen Wiesbaden on 18 May 2008 when he came on as a substitute for Benjamin Siegert in the 90th minute in a game against Freiburg.
Ingolstadt
On 6 May 2014, he signed a three-year contract with Ingolstadt.
TSG Hoffenheim
On 18 May 2016, he signed a contract with TSG Hoffenheim.
Retirement
On 6 December 2022, Hübner announced his retirement from football after persistent injuries had resulted in him playing just 478 minutes in two-and-a-half years.
Personal life
His brothers Christopher and Florian are professional footballers and his father Bruno is director of sports at Eintracht Frankfurt.
Career statistics
Honours
Club
Ingolstadt
2. Bundesliga: 2014–15
References
External links
1989 births
Living people
German men's footballers
SV Wehen Wiesbaden players
VfR Aalen players
FC Ingolstadt 04 players
TSG 1899 Hoffenheim players
Men's association football defenders
Bundesliga players
2. Bundesliga players
3. Liga players
Regionalliga players
Oberliga (football) players
Footballers from Wiesbaden
Mokhtar Ghyaza

Mokhtar Ghyaza (born 15 November 1986) is a Tunisian basketball player who currently plays for US Monastir of the Championnat National A and the Basketball Africa League (BAL).
Professional career
Ghyaza has played pro club basketball with ES Radès and Club Africain in the Tunisian Basketball League.
In the offseason of 2019, Ghyaza signed with US Monastir. After winning the 2020 championship, he made his debut in the Basketball Africa League (BAL) with the team. Monastir reached the finals. On 10 September 2021, he re-signed for another season. On 28 May 2022, he won the club's first-ever BAL championship with Monastir.
Tunisian national basketball team
Ghyaza was a member of the senior men's Tunisia national basketball team that finished third at the 2009 FIBA Africa Championship, to qualify for the country's first FIBA World Championship. Ghyaza averaged 5.7 points and 1.3 rebounds per game, off the bench, for the Tunisians during the tournament. He pulled down a team-leading five rebounds for the Tunisians in a bronze medal victory over Cameroon, that sent the team to the 2010 FIBA World Championship.
BAL career statistics
|-
|style="text-align:left;"|2021
|style="text-align:left;"|Monastir
| 6 || 0 || 14.0 || .444 || – || .818 || 2.8 || .7 || 2.0 || .7 || 4.2
|-
|style="text-align:left;background:#afe6ba;"|2022†
|style="text-align:left;"|Monastir
| 8 || 0 || 16.8 || .667 || – || .714 || 4.6 || .9 || 1.1 || .6 || 6.3
References
External links
Afrobasket profile
1986 births
Living people
US Monastir basketball players
Basketball players at the 2012 Summer Olympics
Centers (basketball)
Ezzahra Sports players
Tunisian expatriate basketball people in Qatar
Tunisian men's basketball players
Olympic basketball players for Tunisia
People from Sfax
Club Africain basketball players
2010 FIBA World Championship players
2019 FIBA Basketball World Cup players
روكاموريتشي

روكاموريتشي هي بلدية في مقاطعة بسكارا في إقليم أبروتسو الإيطالي.
السكان
في سنة 1861 بلغ عدد السكان نسمة، وتطور العدد ليصل في سنة 2018 لـ نسمة.
المراجع
بلديات مقاطعة بسكارا
روكاموريتشي
مدن وبلدات في أبروتسو
John K. McInnis

John K. McInnis
John Kenneth McInnis (September 29, 1853 – October 21, 1923) was an educator, journalist, farmer and political figure in Saskatchewan, Canada. He was mayor of Regina in 1899.
He was born in Strathalbyn, Prince Edward Island, the son of John McInnis, and was educated at Prince of Wales College and the Central Academy in Charlottetown. In 1874, he married Hannah Jane Carr. He served as principal at schools in Portage la Prairie, Manitoba, Moosomin and Wolseley. In 1891, he came to Regina and became editor of the Regina Journal, later renamed the Regina Standard. McInnis served on Regina city council from 1896 to 1898 and from 1915 to 1917 and from 1919 to 1922. He ran unsuccessfully for a seat in the House of Commons in the 1896 Canadian federal election in the Assiniboia West electoral district, tying his opponent and incumbent Nicholas Flood Davin, and subsequently losing on the tie-breaking vote of the Returning Officer, and would run again in 1908 Canadian federal election. In 1913, he retired from journalism to pursue farming, real estate and a printing and publishing business. He also served on the board of governors for the Regina General Hospital.
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1853 births
1923 deaths
Mayors of Regina, Saskatchewan
Bernoulli differential equation

Bernoulli differential equation
In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form
where is a real number. Some authors allow any real , whereas others require that not be 0 or 1. The equation was first discussed in a work of 1695 by Jacob Bernoulli, after whom it is named. The earliest solution, however, was offered by Gottfried Leibniz, who published his result in the same year and whose method is the one still used today.
Bernoulli equations are special because they are nonlinear differential equations with known exact solutions. A notable special case of the Bernoulli equation is the logistic differential equation.
Transformation to a linear differential equation
When , the differential equation is linear. When , it is separable. In these cases, standard techniques for solving equations of those forms can be applied. For and , the substitution reduces any Bernoulli equation to a linear differential equation
For example, in the case , making the substitution in the differential equation produces the equation , which is a linear differential equation.
Solution
Let and
be a solution of the linear differential equation
Then we have that is a solution of
And for every such differential equation, for all we have as solution for .
Example
Consider the Bernoulli equation
(in this case, more specifically a Riccati equation).
The constant function is a solution.
Division by yields
Changing variables gives the equations
which can be solved using the integrating factor
Multiplying by
The left side can be represented as the derivative of by reversing the product rule. Applying the chain rule and integrating both sides with respect to results in the equations
The solution for is
Notes
References
. Cited in .
.
External links
Index of differential equations
Ordinary differential equations