Please answer all subparts.I will really upvote Consider the difference equation A(n + 1) = 2A(n) - 0.25A²(n) -0.75.(a) Find the equilibrium values for the system.(b) Determine the stability of the equilibrium values using cobwebs.(c) Determine the stability of the equilibrium values using linearization.

As per the question we are given the following nonlinear recurrence relation :A(n+1) = 2A(n) -…

Answered: Consider the difference equation A(n +…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 24CM: Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points...

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Consider the difference equation A(n + 1) = 2A(n)-0.25A²(n)-0.75. (a) Find the equilibrium values for the system. (b) Determine the stability of the equilibrium values using cobwebs. (c) Determine the stability of the equilibrium values using linearization.