Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.

# Consider the system x' = (0 8; -2 a)x, find all the values of a so that the origin is asymptotically unstable spiral point.

Consider the system x' = (0 8; -2 a)x, find all the values of a so that the origin is asymptotically unstable spiral point.

Find all the values of k for which solutions of the system x' = (-2 -1; k 0)x spiral into the origin as t approaches infinity.