The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per year (ie that's the rate it would grow absent limiting factors). However the population has a carrying capacity (aka saturation level or maximum sustainable population) of 9 thousand rabbits. Additionally, in order to have sufficient genetic diversity, the population must stay above a threshold (aka minimum sustainable population) of 4 thousand rabbits. Write a differential equation for the population of rabbits.

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