A lung follows the discrete time dynamical system ct 1 0 25e 3ctct 0 75 where 5 0 Show that there is an equilibrium between 0 and The Intermediate Value Theorem can often be used to prove that complicated discrete time dynamical systems have equilibria

Question: A lung follows the discrete-time dynamical system ct+1 = 0.25e-3ctct + 0.75 where = 5.0. Show that there is an equilibrium between 0 and

A lung follows the discrete-time dynamical system ct+1 = 0.25e-3ctct + 0.75γ where γ = 5.0. Show that there is an equilibrium between 0 and γ.
The Intermediate Value Theorem can often be used to prove that complicated discrete-time dynamical systems have equilibria.

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