Linearization of two nonlinear equations
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang With two equations, the two linearized equations use the 2 by 2 matrix of partial derivatives of the right hand sides. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

▶︎
Eigenvalues and Stability: 2 by 2 Matrix, A

▶︎
Linearizing Nonlinear Differential Equations Near a Fixed Point

▶︎
The Big Picture of Linear Algebra

▶︎
What Is Linearization?

▶︎
Wave Equation

▶︎
Derivatives Aren't What You Think They Are

▶︎
Eigenvalues and Eigenvectors

▶︎
Linear Approximation - Linearization with Taylor Series

▶︎
Step Function and Delta Function

▶︎
The Matrix Exponential

▶︎
Intro to Control - 5.1 Linearization Basics

▶︎
The Jacobian Matrix

▶︎
How Maxwell's Equations Were Discovered

▶︎
The Hardest Questions in Physics | World Science Festival

▶︎
Drawing Phase Portraits for Nonlinear Systems

▶︎
The Hartman-Grobman Theorem, Structural Stability of Linearization, and Stable/Unstable Manifolds

▶︎
Laplace Equation

▶︎
Russell's Paradox - a simple explanation of a profound problem

▶︎
