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In Exercises 1-10, (a) compute the eigenvalues; (b) for each eigenvalue, compute the associated eigenvectors; (c) using HPGSystemSolver, sketch the direction field for the system,
In Exercises 1-10, (a) compute the eigenvalues; (b) for each eigenvalue, compute the associated eigenvectors; (c) using HPGSystemSolver, sketch the direction field for the system, and plot the straight-line solutions; (d) for each eigenvalue, specify a corresponding straight-line solution and plot its x (t)- and y(t)-graphs; and (e) if the system has two distinct eigenvalues, compute the general solution.\f
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