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Mathematics
Problem
A population of trout in a lake obeys
d
P
d
t
=
0.3
P
−
0.00015
P
2
\dfrac{dP}{dt}=0.3P-0.00015P^{2}
d
t
d
P
=
0.3
P
−
0.00015
P
2
, where P is measured in fish and t in months. Determine the intrinsic growth rate constant k and the carrying capacity a for this population.
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