Differential Equations with Forcing: Method of Variation of Parameters
This video solves externally forced linear differential equations with the method of variation of parameters. This approach is extremely powerful. The idea is to solve the unforced, or "homogeneous" system, and then to replace the unknown coefficients c_k with unknown functions of time c
From playlist Engineering Math: Differential Equations and Dynamical Systems
Fourier series & differential equations
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to solve differential equations via Fourier series. A simple example is presented illustrating the ideas, which are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Fourier series + differential equations
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to solve differential equations via Fourier series. A simple example is presented illustrating the ideas, which are seen in university mathematics.
From playlist Differential equations
Differential Equations with Forcing: Method of Undetermined Coefficients
This video introduces external forcing to linear differential equations, and we show how to solve these equations with the method of undetermined coefficients. The idea is simple: 1) solve the unforced, or "homogeneous" system; 2) find a particular solution that equals the forcing when pl
From playlist Engineering Math: Differential Equations and Dynamical Systems
Differential Equations: Force Damped Oscillations
How to solve an application of non-homogeneous systems, forced damped oscillations. Special resonance review at the end.
From playlist Basics: Differential Equations
Difficult to form a recipe here, but through judicious use of substitution you can infinitely simplify a DE. Have a look.
From playlist Differential Equations
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
Linearising nonlinear derivatives
A simple trick to linearise derivatives
From playlist Linearisation
Systems of Differential Equations with Forcing: Example in Control Theory
This video explores linear systems of differential equations with forcing. We motivate these problems with a simple control example where we stabilize and inverted pendulum with external forcing based on state feedback. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaO
From playlist Engineering Math: Differential Equations and Dynamical Systems
On Some Theories of Gauss Sums - Guy Henniart
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Guy Henniart October 17, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day conference, "Geometry and
From playlist Pierre Deligne 61st Birthday
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 4) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
From PSL2 representation rigidity to profinite rigidity - Alan Reid and Ben McReynolds
Arithmetic Groups Topic: From PSL2 representation rigidity to profinite rigidity Speakers: Alan Reid and Ben McReynolds Affiliations: Rice University; Purdue University Date: February 9, 2022 In the first part of this talk, we take the ideas of the second talk and focus on the case of (a
From playlist Mathematics
NIP Henselian fields - F. Jahnke - Workshop 2 - CEB T1 2018
Franziska Jahnke (Münster) / 05.03.2018 NIP henselian fields We investigate the question which henselian valued fields are NIP. In equicharacteristic 0, this is well understood due to the work of Delon: an henselian valued field of equicharacteristic 0 is NIP (as a valued field) if and on
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Automorphy: Automorphy Lifting Theorems I (continued)
David Geraghty Princeton University; Institute for Advanced Study March 10, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
Jeremy Booher Stanford University November 19, 2015 https://www.math.ias.edu/seminars/abstract?event=87395 For a representation of the absolute Galois group of the rationals over a finite field of characteristic p, we would like to know if there exists a lift to characteristic zero with
From playlist Joint IAS/PU Number Theory Seminar
Two Dimensional Galois Representations Over Imaginary Quadratic Fields - Andrei Jorza
Two Dimensional Galois Representations Over Imaginary Quadratic Fields Andrei Jorza Institute for Advanced Study December 16, 2010 To a regular algebraic cuspidal representation of GL(2) over a quadratic imaginary field, whose central character is conjugation invariant, Taylor et al. assoc
From playlist Mathematics
Kevin Buzzard (lecture 9/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Kevin Buzzard (lecture 12/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 3) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Another, perhaps better, method of solving for a higher-order, linear, nonhomogeneous differential equation with constant coefficients. In essence, some form of differentiation is performed on both sides of the equation, annihilating the right-hand side (to zero), so as to change it into
From playlist Differential Equations