7. Consider the following system of differential equations: Y' = AY, with A= = (23) (a) (8 points) Find the eigenvalues
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7. Consider the following system of differential equations: Y' = AY, with A= = (23) (a) (8 points) Find the eigenvalues
7. Consider the following system of differential equations: Y' = AY, with A= = (23) (a) (8 points) Find the eigenvalues of A and a corresponding eigenvector for one of the eigen- values. (b) (8 points) Sketch the phase portrait in the xy – plane. (c) (2 points) Classify the equilibrium solution at the origin. Justify your classification.
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