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 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
Determine if the Functions are Linearly Independent or Linearly Dependent
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to determine if three functions are linearly independent or linearly dependent using the definition.
From playlist Differential Equations
Forced Systems of Differential Equations in Matlab and Python
In this video, we showcase the many powerful built-in functions to analyze linear systems in Python and Matlab. Many of these functions are used extensively in control theory, which is based on forced linear systems of differential equations. Some of the functions generate state-space
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
Linear Systems of Differential Equations with Forcing: Convolution and the Dirac Delta Function
This video derives the fully general solution to a matrix system of linear differential equation with forcing in terms of a convolution integral. We start off simple, by breaking the problem down into simple sub-problems. One of these sub-problems is deriving the response of the system t
From playlist Engineering Math: Differential Equations and Dynamical Systems
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
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
MIT RES.TLL-004 Concept Vignettes View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructor: Peter Dourmashkin This video leads students through modeling the regular, non-linear pendulum with a differential equation. We explore why solutions to a differential equation are an
From playlist MIT STEM Concept Videos
Introduction to Ordinary Differential Equations
In this video we introduce the concept of ordinary differential equations (ODEs). We give examples of how these appear in science and engineering as well as outline a roadmap for our video series focusing on ODEs. Topics and timestamps: 0:00 – Introduction 4:12 – Mathematical definition
From playlist Ordinary Differential Equations
Lec 2 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 2: Analysis of continuous systems Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
Stochastic Dynamics (Lecture 1) by Sudipta Kumar Sinha
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Partial Differential Equations Overview
Partial differential equations are the mathematical language we use to describe physical phenomena that vary in space and time. Examples include gravitation, electromagnetism, and fluid dynamics. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview of Pa
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Differential Equations | Applications of Second Order DEs: Central Force
We use a second order differential equation to describe the motion of an object under the influence of a central force. http://www.michael-penn.net
From playlist Differential Equations
Introduction to Differential Equation Terminology
This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com
From playlist Introduction to Differential Equations
spring systems -- differential equations 15
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From playlist Differential Equations