# Science:Math Exam Resources/Courses/MATH103/April 2016/Question 06 (a) (v)

MATH103 April 2016
Other MATH103 Exams

### Question 06 (a) (v)

Consider a population that is governed by the logistic differential equation

${\frac {dN}{dt}}={\frac {1}{2}}N\left(1-{\frac {N}{10^{6}}}\right)$ with initial condition $N(0)=2\times 10^{5}$ . $N$ is the population size and $t$ is time measured in years.

(v) How long will it take for the population to reach 50% of the carrying capacity?

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