Consider the following system. = 7x + y, dx dy dt dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A-6-1,6+i Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K= = -2x + 5y Find the general solution of the given system. (x(t), y(t)) - et (cos(t) (1, -2)-sin(t) (1,0)), et (cos(r) (1,0) + sin(t) (1, -2)) Need Help? Read It x

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