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Consider the Initial Value Problem dx 5 -5 dt X , * (0) = 9 (a) Find the eigenvalues and eigenvectors for the coefficient matrix.

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Consider the Initial Value Problem dx 5 -5 dt X , * (0) = 9 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. = , and 12 , 72 = (b) Find the solution to the initial value problem. Give your solution in real form. x (t = Determine the shape and orientation of solution curves algebraically. An ellipse with clockwise orientation v 1. Describe the trajectory

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