Question: Computer. This question concerns numerically exploring the solutions of the equation pn+1 = pn + pn(1 pn) First determine all the equilibrium solutions of this

Computer. This question concerns numerically exploring the solutions of the equation pn+1 = pn + pn(1 pn) First determine all the equilibrium solutions of this difference equation by setting p = pn+1 = pn. Now investigate the stability of these equilibrium numerically. Consider the initial conditions: p0 = 0, p0 = 0.0001, p0 = 2. Numerically simulate the difference equation using the following values of : = .1, = .7, = 1.2. Describe your results and comment on the stability of the equilibrium you found. Provide plots of all your results. It will make your comparisons easier if you plot all the results for one value of on a single graph.

(Answer the question using mathematica software or wolfram alpha)

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