2. Economics
3. the rate of growth in the number of shops n...

# Question: the rate of growth in the number of shops n...

###### Question details

The rate of growth in the number of shops, n, in a chain of local grocery stores after months satisfies the differential equation:    $\frac{dn}{dt}=\frac{3}{\sqrt{t}}$

Initially there are two stores (that is, when = 0, = 2). Estimate the number of shops in the chain after 9 months.