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Consider the following system. dx dt = 3x + 5y dy = -2x + 5y dt Find the eigenvalues of the coefficient matrix A((). (Enter

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Consider the following system. dx dt = 3x + 5y dy = -2x + 5y dt Find the eigenvalues of the coefficient matrix A((). (Enter your answers as a comma-separated list.) Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K = Find the general solution of the given system. (x (t), y(t)) =

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