Asymptotically stable/unstable system of linear D.E.

Kemikeren

New member
Joined
Sep 7, 2018
Messages
9
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
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
4,797
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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