Question: For the system x = 2x y + 9 y = y + x + 3 establish the trajectories for each of the following

For the system x˙ = −2x − y + 9 y˙ = −y + x + 3 establish the trajectories for each of the following initial points

(i) (x0, y0) = (1, 3), (ii) (x0, y0) = (2, 8), and (iii) (x0, y0) = (3, 1), showing that all trajectories follow a counter-clockwise spiral towards the fixed point.

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