Unformatted text preview: them. Does this con±rm your analysis above (it should)? Does it answer questions that you could not answer there? • Here is Maple code for problem 2(b); you just have to enter it. It graphs six trajectories by giving six sets of inital conditions. You should ±nd it fairly easy to modify this code to produce the plot for problem 2(k). You may want to change the ranges of the variables and to pick other initial points (you will probably need more than six trajectories to get a good picture of the behavior). Experiment until you get a nice plot. > with(DEtools); > phaseportrait([diff(x(t),t)=1-y(t)^2,diff(y(t),t)=1-x(t)], [x(t),y(t)],t=-10. .10, [[x(0)=1,y(0)=0], [x(0)=1,y(0)=0.75], [x(0)=1.5,y(0)=1], [x(0)=0.5,y(0)=1], [x(0)=1,y(0)=1.3], [x(0)=1,y(0)=-0.5]], x=-1. .3, y=-2. .2,stepsize=.05,linecolor=RED); 1...
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- Fall '07
- Technological singularity, saddle point, The Singularity Is Near, phase plane, special straight-line trajectories