A population is modeled by the differential equation

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For what values of$$P$$is the population increasing? $($Enter your answer in interval notation.$$Type the word infinity if needed.$)$Blank $1$

For what values of$$P$$is the population decreasing? $($Enter your answer in interval notation.$$Type the word infinity if needed.$)$ Blank $2$

What are the equilibrium solutions? $($Enter your answers as a comma$-$separated list.$)$P$=$Blank $3$