Question: Consider the following nonlinear first-order difference equation with initial condition: yt yat 1 construct the step-chart and phase diagram with: a 0:5

Consider the following nonlinear first-order difference equation with initial condition: yðtÞ ¼ yaðt  1Þ construct the step-chart and phase diagram with: a ¼ 0:5 a ¼  0:5 a ¼  2 a ¼ 2 and analyze the convergence or divergence of the system.

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