Asymptotically stable/unstable system of linear D.E.

Kemikeren

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Sep 7, 2018
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How do I determine for which values of "a" this linear system of 1st order differential equations are stable and unstable?

Thank you!
Udklip.PNG
 
Find the eigenvalues of the matrix, in terms of "a". The system is "stable" if all eigenvalues are negative, "unstable" if any are positive.
 
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