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Question: Non-autonomous system. For what parameters a is the zero solution of the system stable?

Question:Non-autonomous system. For what parameters a is the zero solution of the system stable?

spstudent2020 5 Maple
ode dsolve eigenvalues differential-equations stability
December 07 2020
1

I want to find fundamental matrix of the system: X(t).

Actually I need A=X(T) where T is 2*Pi.

So then I can find whether the solution is stable.

The problem is, I don't understand how to find X(t) in Maple. 

Tried to solve numerically with dsolve at t=T but the next step is not obvious.
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