Matrix maniupation, egein values, determinant, etc
The Attempt at a Solution
Well, at first I tried the formulaic way, i.e. finding the eigenvalue through the determinant, but it gave me zero and worse when plugged in it gives zero for x1 and x2.
It seems it is too simple to use matrixes here so Instead I just tried it the old fashioned way - i.e. solving for the system through calculus and algebra.
So I solved for x1 because it seemed pretty straightforward and it was, I got:
which is correct
So now I try plugging it in x2' and integrating dx2/dt and I get
which should give
However this is wrong. can someone help me with this?
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