Science:Math Exam Resources/Courses/MATH103/April 2006/Question 07 (a)

MATH103 April 2006

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Question 07 (a)
In an experiment involving a bacteria population, $N(t)$ denotes the size of the population (measured in thousands of individuals) as a function of time, starting at $t=0$. The initial population is $N(0)=N_{0}$. a) Suppose the population growth is governed by the differential equation $\displaystyle {\frac {dN}{dt}}={\frac {N}{t+1}}$ Find $N(t)$ if $N(0)=2$.

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

Hint

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