
How to rearrange DE?
Would really appreciate any ideas on rearranging this DE into a form that is ready to be solved using either separating of variables or integrating factor method.
Thanks in advance
dn/dt= r(1n/s)n,
Where r and s are constants.
Any help would be appreciated

$\displaystyle \frac{dn}{dt} = r\left(1  \frac{n}{s}\right)n$
$\displaystyle \frac{dt}{dn} = \frac{1}{r\left(1  \frac{n}{s}\right)n}$
$\displaystyle t = \int{\frac{1}{r\left(1  \frac{n}{s}\right)n}\,dn}$.
Now apply the method of Partial Fractions.