Use a slope field $($e$.$g$.$ generated using GEODE$)$ for the differential equation

dydt$=$y$32$y$2+$y

to predict the following long$-$term behavior of solutions:

If y$(0)=\mathrm{.}25,$ then y$($t$)$

as t$$$.$

If y$(0)=1,$ then y$($t$)$

as t$$$.$

If y$(0)=1\mathrm{.}1,$ then y$($t$)$

as t$$$.$

Note that you need to be reasonably accurate in your predictions for them to be accepted as being correct. Don$$t be afraid to tweak the visible range of t and y in your slope field so that it is focused around the area of interest $($more tangents $=$ more accuracy$).$