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Eigenvectors, Eigenvalues, Critical Points and Trajectories in the Phase Plane

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(i) Find eigenvalues and eigenvectors:
(ii) Classify the critical point (0,0) as to type and determine whether it is stable or unstable:
(iii) Sketch several trajectories in the phase plane.
--> =(-7 10) -->
x' (-5 8) x

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Eigenvectors, Eigenvalues, Critical Points and Trajectories in the Phase Plane are investigated. The solution is detailed and well presented.

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