# MATH

posted by Lilly

I really don't know how to do this, need as soon as possible. Please help!

A rabbit population satis es the logistic equation
dy
dt = 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 effeect, 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?

thank you!

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