Question: Consider the initial value problem dx 2 6 dt 2 x, x(0) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. , and

Consider the initial value problem dx 2 6 dt 2 x, x(0) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. , and 12 = 72 = (b) Solve the initial value problem. Give your solution in real form. x(t) = Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation 1. Describe the trajectory

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