If all the solution curves for $\frac { d y } { d t }$ have $y = - 5$ as a horizontal asymptote, does it follow that either $\lim _ { t \rightarrow \infty } y = 5$ or $\lim _ { t \rightarrow - \infty } y = 5$ ?

Question

Quizplus · Accepted Answer

If all solution curves have $y = -5$ as a horizontal asymptote, then the correct limits should involve $y$ approaching $-5$, not $5$, as $t$ approaches either $\infty$ or $-\infty$.

If All the Solution Curves For dydt\frac { d y } { d t }dtdy​

If All the Solution Curves For $\frac { d y } { d t }$