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A rabbit population satisfies the logistic equation dy/dx=2x10^7y(10^6-y), where t is the time measured in months. The population is suddenly reduced to 40% of its steady state size by myxamatosis. If the myxamatosis then has no further effect, how large is the population 8 months later? How long will it take for the population to build up again to 90% of its steady state size?

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