System of ODEs with a repeated eigenvalue
In this video, I go through an example of a 2x2 system of ODEs that have a repeated eigenvalue and only one eigenvector.

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Linear Systems of DE with Complex Eigenvalues

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Matrix Systems of Differential Equations

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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

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System of ODEs with complex eigenvalues

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General Solution to a Nonhomogeneous System (Variation of Parameters)

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What Lies Between a Function and Its Derivative? | Fractional Calculus

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Linear Systems: Complex Roots | MIT 18.03SC Differential Equations, Fall 2011

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Example of Defective 3 x 3 system - one eigenvalue that produces only one LI eigenvector

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8: Eigenvalue Method for Systems - Dissecting Differential Equations

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Homogeneous Systems of Linear Equations - Intro to Eigenvalue/Eigenvector Method

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Solving Linear Systems with Eigenvalue/Eigenvector Method - Example 2

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Two-Dimensional Systems of DEs with Repeated Eigenvalues

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Linear Systems: Matrix Methods | MIT 18.03SC Differential Equations, Fall 2011

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Non-homogeneous System of DE - Made Easy

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