consider an animal population P(t) with constant death rate 0.02 (deaths per animal per month) and with birth rate proportional to P. suppose that P(0)=200 and P'(0)=2. when is P=1000?
constant death rate 0.02 (deaths per animal per month)
and with birth rate proportional to P.
And with...
... we have...
... which is suitably arranged as either...
... or else...
... according to taste.
Just in case a picture helps...
... where (key in spoiler) ...
Spoiler:
__________________________________________________ __________
Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!