Question: Consider the Initial Value Problem dx 2 IX, dt 2 x(0) : (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 71 = ,

Consider the Initial Value Problem dx 2 IX, dt 2 x(0) : (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 71 = , and 12 72 = (b) Find the solution to the initial value problem. Give your solution in real form. x(t) = Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory: An ellipse with clockwise orientation 1. Describe the trajectory

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