What does draw the vector space of a system mean?

I have a system of differential equations:

The problem I have to solve is the following:

Draw the vector space of the system using matlab in a rectangle containing the stationary points.For $t\in[0,10]$ make animation of the movement of the point $(x(t),y(t))$ which at time $t=0$ starts from point $(x_1,y_1)$ which is enetered with the mouse by clicking in on the rectangle.

What does draw the vector space mean? Does it mean I have to solve for $x$ and $y$ in terms of $t$ and then draw the graphic?

See for instance this post about phase portrait of ODEs with MATLAB$^®$.