A population growing with harvesting will behave according to the differential equation

$\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}={0.06}{y}{\left({1}-\frac{{y}}{{1500}}\right)}-{c}$
$\displaystyle {y}{\left({0}\right)}={y}_{{0}}$

Find the value for c for which there will be only one equilibrium solution to the differential equation

c = Preview Question 6 Part 1 of 3  

If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.