Suppose that $\frac{dy}{dt}=p(y)$ is an autonomous equation satisfying all four of the following conditions:

$($i$)$ The only equilibrium solutions are $y=-3$ and $y=4$

$($ii$)p(y)>0$ for

$($iii$)p(y)>0$ for

$(iv)p(y)<mn>0</mn>$ for $y>4$

Let $y(t)be$ a solution such that $y(0)=0.Ifit$ exists, determine $\underset{t}{lim}y(t).$

$-3$

$0$

$2$

$4$

$$

$-$

This $limit$ does not exist.