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Consider the following system. dx dt dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) =

Consider the following system. dx dt dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = = 6x + 5y K= = -2x + 8y Find an eigenvector corresponding to the eigenvalue with positive imaginary part. Find the general solution of the given system. (x(t), y(t)) =

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