Question: The differential equation=-P + 14P - 33P describes the behavior of a village's popu- lation, where P(t) represents the population t years from now.

The differential equation=-P + 14P - 33P describes the behavior of a 

The differential equation=-P + 14P - 33P describes the behavior of a village's popu- lation, where P(t) represents the population t years from now. Do not solve the given ODE. Suppose the population is initially P(0) = 5 villagers. Explain why the population will grow but never reach 100. (Hint: Factor the polynomial.)

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