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6) for the following differential equation (assume zero initial conditions), write the state variables in a matrix form and determine the eigenvalues and discuss the

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6) for the following differential equation (assume zero initial conditions), write the state variables in a matrix form and determine the eigenvalues and discuss the stability. d' y +31 -+ 280 dy + 250y =e3t dt dt dt7) For problem number (6) above, determine the sampling time (h) for an accurate simulation and write the MATLAB codes to simulate the problem using Euler's method. (10 pts.)

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