Partial differential equations

D'Alembert's formula

In mathematics, and specifically partial differential equations (PDEs), d'Alembert's formula is the general solution to the one-dimensional wave equation (where subscript indices indicate partial differentiation, using the d'Alembert operator, the PDE becomes: ). The solution depends on the initial conditions at : and .It consists of separate terms for the initial conditions and : It is named after the mathematician Jean le Rond d'Alembert, who derived it in 1747 as a solution to the problem of a vibrating string. (Wikipedia).

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D Alembert formula

D'Alembert's formula for the wave equation In this video, I derive D'Alembert's formula for the solution of the wave equation u_tt = c^2 u_xx, which is a very elegant way of describing the motion of a wave Check out my PDE Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmDoNq

From playlist Partial Differential Equations

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A09 The Hamiltonian

Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.

From playlist Physics ONE

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Wave equation

In this video, I derive d’Alembert’s formula for the 1-dimensional wave equation, based on a nice factoring trick and by using the solution formulas for the transport equation. Enjoy!

From playlist Partial Differential Equations

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Le Chatelier's Principle

If a system is at equilibrium, and we do something to it, it will shift in a particular way. It is quite easy to predict the behavior of equilibria if we know about Le Chatelier's principle and three simple situations! Watch the whole General Chemistry playlist: http://bit.ly/ProfDaveGenC

From playlist General Chemistry

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C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

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Raoult's Law - How To Calculate The Vapor Pressure of a Solution

This chemistry video tutorial provides a basic introduction into Raoult's law which says that the vapor pressure of a solution is the product of the mole fraction of the solvent and the partial pressure of the pure solvent at a given temperature. This video explains how to calculate the v

From playlist New AP & General Chemistry Video Playlist

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V9-11: D'Alembert's solution for wave equation, example, remarks, characteristics. Elem. Diff. Eqns.

D'Alembert's solution for wave equation, examples, remarks, characteristics Elementary Differential Equations. Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD This project was created with Explain Everything™ Interactive Whiteboard for iPad. 00:

From playlist Elementary Differential Equations

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Complex numbers and algebra | Math History | NJ Wildberger

Complex numbers of the form a+bi are mostly introduced these days in the context of quadratic equations, but according to Stillwell cubic equations are closer to their historical roots. We show how the cubic equation formula of del Ferro, Tartaglia and Cardano requires some understanding o

From playlist MathHistory: A course in the History of Mathematics

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Colloquium MathAlp 2018 - Christian Gérard

Aspects de la théorie quantique des champs en espace-temps courbe La théorie quantique des champs est formulée d'habitude sur l'espace-temps plat de Minkowski. L'extension de ce cadre à des espaces-temps généraux permet de mettre en lumière de nouveaux phénomènes quantiques qui surviennen

From playlist Colloquiums MathAlp

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Stirring the Mandelbrot Set

http://code.google.com/p/mandelstir/

From playlist mandelstir

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V9-10: D'Alembert's solution for wave equation, derivation. Elementary Differential equations

V9-10: D'Alembert's solution for wave equation, derivation. Elementary Differential equations Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD This project was created with Explain Everything™ Interactive Whiteboard for iPad. 00:00 Slide 1 00:1

From playlist Elementary Differential Equations

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François Gay-Balmaz : A Langrgian Variational Formulation of Nonequilibrium thermodynamics

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

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De Moivre's formula: a COOL proof

A quick way of proving De Moivre's formula! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Hi again everyone, Chris Tisdell here again. In this presentation I am going to continue my series of videos on complex numbers. In particular, in this presentation, I am g

From playlist Intro to Complex Numbers

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The controversial origins of the Encyclopedia - Addison Anderson

View full lesson: https://ed.ted.com/lessons/the-controversial-origins-of-the-encyclopedia-addison-anderson The first encyclopedia contained 70,000 entries and over 20,000,000 words. It was broken into 35 volumes written over the course of 3 decades. It was also banned by Louis XV and Pop

From playlist New TED-Ed Originals

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Monte Carlo Simulation and Python 13 - D'Alembert Strategy

Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 In this video, we program the D'Alembert Strategy. The D'Alembert betting strategy is a progressive betting strategy that uses increments rather th

From playlist Monte Carlo Simulation with Python

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Monte Carlo Simulation and Python 15 - Analysis of D'Alembert

Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 In this video, we view the results of the D'Alembert strategy. In the monte carlo simulation with Python series, we test various betting strategie

From playlist Monte Carlo Simulation with Python

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Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

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Hajar Bahouri - De l'analyse des EDPs non linéaires à la théorie des groupes

Créteil, Prix Paul Doisteau 2016 Réalisation technique : Antoine Orlandi (GRICAD) | Tous droits réservés

From playlist Des mathématiciens primés par l'Académie des Sciences 2017

Related pages

D'Alembert operator | Elliptic partial differential equation | Differential equation | Homogeneous differential equation | Mathematics | Initial condition | Hyperbolic partial differential equation | Canonical form | Method of characteristics | Parabolic partial differential equation | Continuous function | Wave equation