$($d$)$ We investigate the differential equation y$^(\text{'})($t$)-2$y$(1-($y$)/($M$))=0$ and y$(0)=4.$

Without solving the equation, the long$-$time behavior of this solution is

as t$->\backslash$infty $,$y$($t$)->$

The general solution is $,$y$($t$)=$

Additionally, we know that y$^(\text{'})(0)=7.$

The particular solution is $,$y$($t$)=$