Unformatted text preview: → ∞ . 2. Consider the system x = y 2 , (3) y = x 2 . (4) (a) Determine all critical points of system (3). (b) Determine the trajectories of system (3). (c) Determine the behavior of all solutions. In particular, determine the difference in behavior between the solution with x (0) = y (0) =1000 and the solution with x (0) =1000 , y (0) =1000 . 00001 3. Give an example of a linear system where the origin is a center and the trajectories are circles which are traversed in the counterclockwise direction....
View
Full
Document
This note was uploaded on 09/08/2010 for the course GEN_ENG 205 taught by Professor Taflove during the Spring '08 term at Northwestern.
 Spring '08
 TAFLOVE

Click to edit the document details