I have the following equation:

$\displaystyle dN/dt = 6- {1/3}N(t), N(0) = 2$

My question is how I should treat N(t). The question is also looking for the equilibrium points. Here's what I did when I treated N(t) as a variable:

$\displaystyle 6-1/3N(t)=0$

$\displaystyle 6= 1/3N(t)$

$\displaystyle N(t)= 18$

Am I on the right track?