# MATH

posted by
**Lilly** on
.

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!