2010-05-20, 05:57 PM
You could also use geometric series, there's really no need to integrate here.
Say we have n black moths, then the population of moths will be
![[Image: 396ugqe.png]](http://mathurl.com/396ugqe.png)
And the population of grey moths will be
![[Image: 27dfndv.png]](http://mathurl.com/27dfndv.png)
Solving for t:
![[Image: 32qvpnq.png]](http://mathurl.com/32qvpnq.png)
And the rest is pretty straightforward.
Noah
Say we have n black moths, then the population of moths will be
![[Image: 396ugqe.png]](http://mathurl.com/396ugqe.png)
And the population of grey moths will be
![[Image: 27dfndv.png]](http://mathurl.com/27dfndv.png)
Solving for t:
![[Image: 32qvpnq.png]](http://mathurl.com/32qvpnq.png)
And the rest is pretty straightforward.
Noah

