This preview shows page 1. Sign up to view the full content.
Unformatted text preview: them. Does this conrm 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...
View Full Document
This note was uploaded on 09/29/2009 for the course 642 527 taught by Professor Speer during the Fall '07 term at Rutgers.
- Fall '07