Question: Q3. Determine the equilibrium (or singular) points and their type (a saddle, a stable or unstable node, stable or unstable spiral, etc.) (by doing a

Q3. Determine the equilibrium (or singular) points and their type (a saddle, a stable or unstable node, stable or unstable spiral, etc.) (by doing a linear eigenvalue analysis about each of the equilibrium points) for the following equations: i. ii+2yri+u+u3 =0, ,u>0; ii. ii+2mi+uu3 :0, y>0; iii.i:x2y, jIx+y, iv. i2x2+y25, yzxyZ. Also, for each case sketch the trajectories and the separatrices in the phase plane. Feel free to use Maple or Matlab or Mathematica

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