Dear all,

I have a question on the stability of a solution.

Let a(t), b(t) and c(t) be continuous functions of t over the interval . Assume (x,y) = is a solution of the system

Show that this solution is stable.

I rearranged the system to get

I've only dealt with constant coefficient linear systems before, so I'm having trouble with this question.

Let .

I'm not sure if I can treat A like a constant matrix, i.e. take the determinant of A to be and trace(A) = 0 by treating t as constant. Also, what role does the play here?

Can someone please help me?

Thank you.

Regards,

Rayne