Linearization at Critical Points

Linearization of two nonlinear equations

Linearizing Nonlinear Differential Equations Near a Fixed Point

Autonomous Equations, Equilibrium Solutions, and Stability

Pictures of Solutions

Variation of Parameters

Stability and Eigenvalues: What does it mean to be a "stable" eigenvalue?

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Linear Approximation - Linearization with Taylor Series

The Big Picture of Linear Algebra

Local stability - Global stability

Laplace Transform: First Order Equation

The Tumbling Box in 3-D

Phase portraits of linear systems | Lecture 42 | Differential Equations for Engineers

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Second Order Equations

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Equilibrium Point Analysis via Linearization

The Logistic Equation