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| PAGE: 616 | SET: Exercises | PROBLEM: 1 |
(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 :
.gif)
(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.
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