The eigenvalues and eigenvectors for the coecient matrix A in the linear homogen

Question

The eigenvalues and eigenvectors for the coecient matrix A in the linear homogeneous

system Y 0 = AY are 1 = 4 with v1 =< 1; 2 > and 2 = ??3 with v2 =< ??2; 1 >. In

the long term, phase trajectories:

10. The eigevalues and eigenvectors for the coefficient matrix A in the linear homogenso system Y, AY are ?? = 4 with vi = and ?? = _3 with tte =. In the long term, phase trajectories (a) become parallel to the vector -2,1 b) tend towards positive infinity. (e) become parallel to the vector

Explanation / Answer

option (b) is correct

when t--> infinity, e^(-3t) --> 0

when t---> infinity, e^(4t) ---> infinity

So, when t--> infinity , y(t) ---> positive infinity

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