Consider the linear homogeneous system of ODEs given by yi : 1 '2 '91 y; 3 -4 3/2 ' 1. Find the type and stability of the critical point at the origin. 2 Sketch the phase portrait of the system in the (y1, y2) plane (by hand). If the critical point is a saddle or a node, identify the relevant eigenvalues and eigenvectors, and state the equation of any straight line trajectories. If the critical point is a Spiral or a centre, identify the direction of rotation