# Category: *Homogeneous Linear Systems*

## Homogeneous Linear Systems

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[latexpage] Find the general solution of the given system. $ X'=\left( \begin{array}{lr} 12&-9\\ 4&0 \end{array} \right)X$ [Solution] \begin{align*} \frac{dx}{dt} &=3x+2y+4z \\ \frac{dy}...

## [1a] Repeated Eigen Values

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## [1b] Repeated Eigen Values

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## [1c] Repeated Eigen Values

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## [2] Homogeneous System: Initial-Value Problem

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## [3a] Complex Eigen values

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## [3b-part 1] Solution of a Linear System: Real and Complex eigenvalues

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## [3b -part 2] Solution of Linear Systems: Real and Complex eigenvalues

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## [3c] Linear System: Real and Complex eigenvalues

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