Have trouble making a phase line plot with Maple.

Question

Draw the phase line, and sketch several graphs of solutions in the $ty$-plane

Is the directions for my homework.

I have tried the Phase Portraits for Autonomous Systems under tasks, but I don't have two functions.

Only have simple one variable differential equations functions: $\frac{dy}{dt}=y^2-3$

Could someone gives me a minimum working example.

Answer 1

You can always add a differential equation for the time via the initial value problem $\frac{dx}{dt}=1$, $x(t_0)=t_0$, so that $x(t)=t$ at all times.