Consider the initial value problem dx x(0)- dt (a) Find the eigenvalues and eigenvectors for the...

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Consider the initial value problem dx x(0)- dt (a) Find the eigenvalues and eigenvectors for the coefficient matrix 4+21= (b) Solve the initial value problem. Give your solution in real form. x(1) 18] Use the phase plotter pplanes.m in MATLAB to answer the following question and A 4-210 counterclockwise direction 1. Describe the trajectory Consider the initial value problem dx x(0)- dt (a) Find the eigenvalues and eigenvectors for the coefficient matrix 4+21= (b) Solve the initial value problem. Give your solution in real form. x(1) 18] Use the phase plotter pplanes.m in MATLAB to answer the following question and A 4-210 counterclockwise direction 1. Describe the trajectory