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Repeated Eigenvalues System of Linear Differential Equations

Find the general solution.

X' = (1 0 0
2 2 -1
0 1 0) X

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Please see the attached file.

This is a typical problem for repeated eigenvalues. To make sure you understand the theory, I have included a reference which has very nice explanation of this.
In general, a repeated value problem will have a general solution of the ...

Solution Summary

The solutions provides detailed explanations on system of Linear Differential Equations and the required calculations.