# Abel equation of the first kind

In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. In other words, it is an equation of the form where . If and , or and , the equation reduces to a Bernoulli equation, while if the equation reduces to a Riccati equation. (Wikipedia).

Abel formula

This is one of my all-time favorite differential equation videos!!! :D Here I'm actually using the Wronskian to actually find a nontrivial solution to a second-order differential equation. This is amazing because it brings the concept of the Wronskian back to life! And as they say, you won

From playlist Differential equations

Differential Equations: First Order Linear Example 2

We present a solution to a first order linear differential equation.

From playlist First Order Linear Differential Equations

Differential Equation - 2nd Order (33 of 54) Abel's Theorem: Example

Visit http://ilectureonline.com for more math and science lectures! In this video I will use Abel's theorem to find y(t)=?, of ay”+by'+cy=0. Next video in this series can be seen at: https://youtu.be/R1RthqErezk

Differential Equation - 2nd Order (32 of 54) Abel's Theorem

Visit http://ilectureonline.com for more math and science lectures! In this video I will use Abel's theorem of using the Wronskian to solve differential equations. Next video in this series can be seen at: https://youtu.be/D0nag8a7t1Y

Differential Equations | Abel's Theorem

We present Abel's Theorem with a proof. http://www.michael-penn.net

From playlist Differential Equations

Differential Equations: First Order Linear Example 1

We present a solution to a first order linear differential equation.

From playlist First Order Linear Differential Equations

Solve a Bernoulli Differential Equation Initial Value Problem

This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com

From playlist Bernoulli Differential Equations

Differential Equations | First Order Linear System of DEs.

We solve a nonhomogeneous system of first order linear differential equations using a strategy inspired from solving a single first order linear differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

SHM - 16/01/15 - Constructivismes en mathématiques - Frédéric Brechenmacher

Frédéric Brechenmacher (LinX, École polytechnique), « Effectivité et généralité dans la construction des grandeurs algébriques de Kronecker »

Louis Nirenberg: Some remarks on Mathematics

Abel Laureate Louis Nirenberg, Courant Institute, New York University: Some remarks on Mathematics This lecture was held by Abel Laurate Louis Nirenberg at The University of Oslo, May 20, 2015 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. P

From playlist Louis Nirenberg

Differential Equations | Application of Abel's Theorem Example 2

We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net

From playlist Differential Equations

Abel Award Ceremony 2019 - Karen Uhlenbeck

The Abel Prize Award Ceremony, May 21, 2019. Place: The University Aula, Oslo, Norway Programme: 0:08 Procession accompanied by the “Abel Fanfare” (Klaus Sandvik). Performed by musicians from The Staff Band of the Norwegian Armed Forces 1:00 His Majesty King Harald V enters the University

From playlist Karen K. Uhlenbeck

(1.4) Introduction to Solving a First Order Linear Differential Equation Using an Integrating Factor

This lesson introduces the integrating factor method to solve a linear first order DE. The integration factor formula is derived. https://mathispower4u.com

Abel Award Ceremony 2018 - Robert Langlands

0:02 Procession accompanied by the “Abel Fanfare” (Klaus Sandvik). Performed by musicians from The Staff Band of the Norwegian Armed Forces 0:52 His Majesty King Harald enters the University Aula 2:09 Dance of the Drums. Performed by Teodor Berg og Arild Torvik | Music: Gene Koshinski 7:19

From playlist Abel Prize Ceremonies

Henri Darmon: Andrew Wiles' marvelous proof

Abstract: Pierre de Fermat famously claimed to have discovered “a truly marvelous proof” of his last theorem, which the margin in his copy of Diophantus' Arithmetica was too narrow to contain. Fermat's proof (if it ever existed!) is probably lost to posterity forever, while Andrew Wiles' p

From playlist Abel Lectures

The Abel Prize announcement 2015 - John Nash & Louis Nirenberg

0:42 The Abel Prize announced by Kirsti Strøm Bull, President of The Norwegian Academy of Science and Letters 2:31 Citation by John Rognes, Chair of the Abel committee 8:50 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 23:09 Phone i

From playlist The Abel Prize announcements

The Abel Prize announcement 2016 - Andrew Wiles

0:44 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:07 Citation by Hans Munthe-Kaas, Chair of the Abel committee 8:01 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 21:43 Pho

From playlist The Abel Prize announcements

Ex 3: Solve a Linear First-Order Differential Equation: Integrating Factor (Initial Value Problem)

This video explains how to find the particular solution to a linear first order differential equation. The solution is verified graphically. Video Library: http://mathispower4u.com Searcy by Topic: http://mathispower4u.wordpress.com

The Extraordinary Theorems of John Nash - with Cédric Villani

Fields medal winner Cédric Villani takes us through the very special world of mathematical creation of John Nash, who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere. Subscribe for regular scienc

From playlist Mathematics

## Related pages

Riccati equation | Bernoulli differential equation | Mathematics | Ordinary differential equation | Cubic function