A fish pond has a carrying capacity of 1000 fish, and an intrinsic growth rate of 0.1, expressed in number of fish per year. If y(t) denotes the number of fish in the pond after t years, write the differential equation for y. Plot solutions for y from initial values of 100, 750, and 1500. Use the graph of z = y' in your analysis. How fast is the number of fish increasing when the pond is half full?

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