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 be-havior 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 counter-clockwise 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