Functional equations

Abel equation

The Abel equation, named after Niels Henrik Abel, is a type of functional equation of the form or . The forms are equivalent when α is invertible. h or α control the iteration of f. (Wikipedia).

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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

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Differential Equations | Abel's Theorem

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

From playlist Differential Equations

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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

From playlist DIFFERENTIAL EQUATIONS 11 - 2nd ORDER, A COMPLETE OVERVIEW

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Differential Equations | Application of Abel's Theorem Example 1

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

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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

From playlist DIFFERENTIAL EQUATIONS 11 - 2nd ORDER, A COMPLETE OVERVIEW

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Video4-2: Abel's Theorem for system of linear equations. Elementary Differential Equations

Elementary Differential Equations Video4-2: Abel's Theorem for system of n linear differential equations; a brief proof; Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD

From playlist Elementary Differential Equations

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Using one to one property when exponents do not have the same base, 25^(x+3) = 5

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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Using the property of equality of powers to solve an equation with exponents

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

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John Nash: An Interesting Equation

John F. Nash, Jr., Princeton University: An Interesting Equation This is the last recorded lecture held by Professor John Nash. The next day he gave the same lecture in Bergen. Two days after the lecture in Bergen, and three days after this lecture was recorded, Professor John Nash died i

From playlist Abel Lectures

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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 »

From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques

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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

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The 2023 Abel Prize announcement

Who will be awarded the Abel Prize in mathematics? Find out by following the live-stream from Oslo Wednesday 22 March at 12:00 (GMT/CET/UTC + 1). Program: - The announcement of this year's recipient(s) of the Abel Prize by President of the Norwegian Academy of Science and Letters, Lise

From playlist Abel Prize 2023

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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

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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

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Abel Prize — The story

A short introduction to the story of The Abel Prize, from the story of Niels Henrik Abel, the establishment of the prize in 2003, and the way mathematics impact our everyday lives. The main objective of the Abel Prize is to recognize pioneering scientific achievements in mathematics. The

From playlist About the Abel Prize

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Calculating Wronskians -- Differential Equations Examples #9

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From playlist Differential Equations

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Solve an exponential equation using one to one property with a fraction as a base

👉 Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be equal so that we can then equate the exponents. When the

From playlist Solve Exponential Equations with Fractions

Related pages

Iterated function | Lie group | Shift operator | Abel equation of the first kind | If and only if | Superfunction | Functional equation | Asymptotic expansion | Real number | Schröder's equation | Böttcher's equation | Infinite compositions of analytic functions | Power series | Tetration | Classification of Fatou components