A population is governed by the differential equation

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

\dfrac{dy}{dt}=7y-0.0021y^{2}

. Which of the following gives the value of the constant

k

when the equation is written in the form

\dfrac{dy}{dt}=k\,y\,(a-y)

? (a)

0.021

(b)

0.0003

(c)

0.0021

(d)

0.0147