Nonlinear partial differential equations
In mathematical physics, the Eckhaus equation – or the Kundu–Eckhaus equation – is a nonlinear partial differential equation within the nonlinear Schrödinger class: The equation was independently introduced by Wiktor Eckhaus and by Anjan Kundu to model the propagation of waves in dispersive media. (Wikipedia).
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
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
C38 Example problem solving a Cauchy Euler equation with initial values
Example problem solving a Cauchy-Euler equation with initial values.
From playlist Differential Equations
C44 Example problem solving a Cauchy Euler equation
Getting more example problems done! Solving Cauchy-Euler equations is easy and fun.
From playlist Differential Equations
Elementary Linear Algebra: Echelon Form of a Matrix, Part 3
In this video we describe how to use echelon forms to describe the solution set of a linear system of equations. This is the third video in a 3-part series. Part 1: http://youtu.be/wY4TAheBsj4 Part 2: http://youtu.be/dlvNcr33M_Y
From playlist Linear Algebra
C43 Example problem solving a Cauchy Euler equation
Another Cauchy-Euler equation example problem solved.
From playlist Differential Equations
Elementary Linear Algebra: Echelon Form of a Matrix, Part 1
In this video we define the echelon form and reduced echelon form of a matrix. This is the first video in a 3-part series. Part 2: http://youtu.be/dlvNcr33M_Y Part 3: http://youtu.be/0MF5iJ9NY0Q
From playlist Linear Algebra
C37 Example problem solving a Cauchy Euler equation
Example problem solving a homogeneous Cauchy-Euler equation.
From playlist Differential Equations
Peter van der Kamp: On CAC and Backlund transformations
Abstract: This talk summarizes joint work with D.J. Zhang, D.D. Zhang and X. Wei, on multi-component extensions of CAC systems, how to obtain auto-Backlund transformations from auto-Backlund transformations, and torqued ABS equations, see papers 33, 37, and 40 from https://wiskun.de/publi
From playlist Integrable Systems 9th Workshop
2 Equations 2 Unknowns. A High School Math Explainer
0:00 Intro 0:58 The substitution method 08:12 The like coefficients method 14:09 The determinant method 20:33 Discussion Equations: https://youtu.be/NtX98LNHO6k In algebra, a system of two equations with two unknowns can be solved by several different methods. This video covers algebraic
From playlist Summer of Math Exposition 2 videos
Progress in Symbolic Differential Equations
During this talk I will give an overview of recent developments, new features and improvements in Wolfram Language related to symbolic solutions of ordinary differential equations. I will begin by speaking about the recently introduced DSolve option IncludeSingularSolutions, which allows o
From playlist Wolfram Technology Conference 2022
(0.3.101) Exercise 0.3.101: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
(0.3) Lesson: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Mod-01 Lec-13 Solving ODE - BVPs and PDEs Using Finite Difference Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Introduction to differential equations | Lecture 1 | Differential Equations for Engineers
Classification of differential equations into ode/pde, order, linear/nonlinear. Some examples are explained. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subs
From playlist Differential Equations for Engineers
Systems of equations: algebra and geometry
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Solving Simultaneous Equations GCSE 9-1 Maths
In this video, we go through example questions on solving linear simultaneous equations using the eliminate method! Simultaneous equations are an important topic for both higher and foundation GCSE 9-1 maths students! Next up, simultaneous equations word problems for GCSE maths!
From playlist Foundation GCSE 9-1 Algebra
Derive the Auxiliary Equation for a Cauchy-Euler Equation
This video derives the auxiliarly or characteristic equation used to solve a second order Cauchy-Euler differential equation. Site: http://mathispoweru4.com
From playlist Second Order Homogeneous Cauchy-Euler Differential Equations