III. Phase plane portraits [3 marks]For the following linear system of ODEs identify the nature and stability ofthe equilibrium point at (0,0) by analysing the coefficient matrix A. Sketchthe xy-phase plane portrait including arrows to show the behaviour of the1solution. If the eigenvectors are real then include them in the sketch else plotdirection fields to determine the orientation/direction.(dx)/(dt) = -2x 4y(dy)/(dt) = -3x 2y
III. Phase plane portraits [3 marks]For the following linear sys…
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