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December 22, 2014

December 22, 2014

Posted by **Lilly** on Sunday, May 27, 2012 at 3:10am.

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**, Sunday, May 27, 2012 at 5:52amThere is no t in your equation and it is incomprehensible anyway.

dy/dt = 2 * 10^6 y - y ??? or something

- MATH -
**Reiny**, Sunday, May 27, 2012 at 8:00amI 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**, Sunday, May 27, 2012 at 8:14amyes that is what i am having trouble with. that is the question exactly and there is no t within the equation =/

- MATH -
**Damon**, Sunday, May 27, 2012 at 3:11pmI 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

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