(a).

The diffrential equation is .

Using the surrounding field points and as a guide extraplote the

graph from the original points.

Because it has a graph of , there will be no huge differences in one point to the next unless it is an asymptote or a line.

(1).Draw the coordinate plane

(2).Graph the diffrential equation .

Graph :

\ \

(b).

Extrapolate the graph from the original points and .

Observe the graph :

The points those which look like a flat line is considered as an equilibrium point for this

solution.

It appears that the constant functions and are equilibrium solutions, because

these functions appear like the flat line.

Therefore, and are equilibrium solutions.

(a).

Graph :

\ \

(b).

and are equilibrium solutions.