Posted by Lilly on .
Please someone get back to me! I really don't know how to do this, need as soon as possible. Please help!
A rabbit population satisfies the logistic equation
dy
dt = 2x(10to the exponent 6)y(10to the exponent6) 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!

MATH  typos and confused notation 
Damon,
There is no t in your equation and it is incomprehensible anyway.
dy/dt = 2 * 10^6 y  y ??? or something 
MATH 
Reiny,
I also had several questions about this when you posted it before
http://www.jiskha.com/display.cgi?id=1338029875
You had clarified only one of the problems, I still find x and y undefined and no sign of any t in the equation.
I noticed that Damon interpreted your x as a multiplication. 
MATH 
Lilly,
yes that is what i am having trouble with. that is the question exactly and there is no t within the equation =/

MATH 
Damon,
I bet you mean
dy/dt = 2*10^6 y
dy/y = 2*10^6 dt
ln y = 2*10^6 t + c
y = C e^2*10^6 t where C is the population
at t = 0 just after the 40% reduction
at t = 8
y = C e^16*10^6 = impossibly big
please post the problem more carefully