The population model given by the equation: dn = f(n) = -n5 + 10n* – 35n³ + 50n² – 24ne dt The equilibrium points are no = 0,n = 1, n2 = 2, n3 = 3,n4 = 4.“ Plot graphs of the numerical solutions that emanate from initial values situated midway %3D between the respective equilibrium points. Can you explain why certain solution trajectories seem to move faster towards certain stable equilibrium points than others? (Hint: Using Taylor expansion of a function f(n) about a point n = no to consider the approximate form of the solution close to an equilibrium point.)

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