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Background of Differential Equations Eigenvalue Method With Repeated Eigenvalues

In this video, I go through an example of a 2x2 system of This video explains how to solve the system x'=Ax when matrix A has An example of a 2-dimensional system of the form x'=Ax, where the coefficient matrix has We give an example of using reduction of order to find the solution to a system of

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System of ODEs with a repeated eigenvalue
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System of ODEs with a repeated eigenvalue

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In this video, I go through an example of a 2x2 system of

(3.7.2) Solve a Linear System of ODEs using the Eigenvalue Method: Repeated Eigenvalues, 1 Defect
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(3.7.2) Solve a Linear System of ODEs using the Eigenvalue Method: Repeated Eigenvalues, 1 Defect

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This video explains how to solve the system x'=Ax when matrix A has

Repeated Eigenvalues
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Repeated Eigenvalues

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When solving a system of linear first order

Repeated Eigenvalues (Case 2!)
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Repeated Eigenvalues (Case 2!)

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Here's a follow-up to the

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Last Updated: May 24, 2026

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