Consider the differential equation $\frac{dy}{dt} = 12y - 3y^2$.
Use a phase-line analysis to find the long-term behavior of $y(t)$ for each of the following given initial conditions. If the answer is infinite, enter oo for $\infty$ or -oo for $-\infty$.
If $y(0) = -1$, then as $t$ increases $y(t)$ approaches
If $y(0) = 0$, then as $t$ increases $y(t)$ approaches
If $y(0) = 2$, then as $t$ increases $y(t)$ approaches
If $y(0) = 4$, then as $t$ increases $y(t)$ approaches
If $y(0) = 6$, then as $t$ increases $y(t)$ approaches
