Question: The questions are the following: (a) Find a function f(x) so that the system x = f(x) has exactly the following fixed points: A stable

The questions are the following:

(a) Find a function f(x) so that the system x = f(x) has exactly the following fixed points:

A stable fixed point at 2,

An unstable fixed point at 1,

A stable fixed point at 0,

A half-stable fixed point at 2.

(b) Draw a phase portrait for your system.

(c) Find all values of x(0) so that x(t) 2 as t .

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