I'm trying to understand how to use phaseportraits in maple by following an example however, I'm not really sure where certian aspects of the equations given come from:
First, let us read in the package we will be using, and then enter the system above.
> eq1:=diff(y1(t),t)=y1(t)+2*y2(t); > eq2:=diff(y2(t),t)=2*y1(t)-y2(t);
Next we enter, as a list, some initial points. These points pick out which solutions we are on.
Finally, we ask Maple to do what it can with this system and these initial points!
Could someone explain where the initial points come from? e.g: 5 -5? I have no idea.