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The phase plot illustrations in the section on Differential
Equations, Section 2.4, were drawn using maple. The
first thing you need to do is declare that you want to use the
DEtools. This is done with the command:
> with(DEtools):
To draw the plot in Figure 2.10.1, the following commands were then used:
> deq1 := D(y)(t) = (-2 * (y(t) - 4);
> plot1 := DEplot(deq1, y(t),\
t=-3..3, y=-3..3, arrows=LINE):
> plots[display]({plot1});
To draw the plot in Figure 2.10.4, the following commands were used:
> deq2 := D(y)(t) =\
(y(t) - 1)*(y(t) - 2)*(y(t) - 3);
> plot2 := DEplot(deq2, y(t),\
t=-2..2, y=0..4, arrows=LINE):
> plots[display]({plot2});
Frank Starmer
2004-05-19