K Kemikeren New member Joined Sep 7, 2018 Messages 9 Nov 17, 2018 #1 How do I determine for which values of "a" this linear system of 1st order differential equations are stable and unstable? Thank you!

How do I determine for which values of "a" this linear system of 1st order differential equations are stable and unstable? Thank you!

H HallsofIvy Elite Member Joined Jan 27, 2012 Messages 4,938 Dec 10, 2018 #2 Find the eigenvalues of the matrix, in terms of "a". The system is "stable" if all eigenvalues are negative, "unstable" if any are positive.

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