A population of trout in a lake obeys ( dP dt =0.3P-0.00015P^ 2 )

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A population of trout in a lake obeys dPdt=0.3P−0.00015P2\dfrac{dP}{dt}=0.3P-0.00015P^{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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