Problem 6: (16 points) Consider the Linear Systems : AỸ where Ÿ : dt and A Y2 is given by: 3 (a) Determine the type of the system, i.e., sink (node), source, saddle, spiral source, spiral sink, center. (b) Draw the phase portrait of the system. If the eigenvalues are real you need to compute the eigenvectors and indicate them clearly on the phase portrait. (c) Compute the General Solution of dt AỸ.

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