5. The slope field for the system = 2r + by D. 2r – 2y is shown to the right. The eigenvalues of the coefficient matrix are found to be A, = 4 and Ay=-4 and their corresponding eigenvectors are V, = (3, 1) and Va = (1, -1), respectively. (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions. (e) Plot the z(t)- and y(t)-graphs for t2 0 for the ICs: B= (3, 1).

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