For the differential equation modeling a population

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

For the differential equation dydt=0.3 y(12−y)\dfrac{dy}{dt}=0.3\,y(12-y) modeling a population y(t)y(t), what is the carrying capacity of the population? (a) 0.30.3 (b) 66 (c) 1212 (d) 3.63.6

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