Question: Consider the Initial Value Problem dx 3 3 8 dt 3 X, x(0) : 3 (a) Find the eigenvalues and eigenvectors for the coefficient matrix.

Consider the Initial Value Problem dx 3 3 8 dt 3 X, x(0) : 3 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. i -i A1 = -3 + 3i , 71 = , and 12 = -3 - 3i ,72 = 1 1 F L (b) Find the solution to the initial value problem. Give your solution in real form. x (t) = 181

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