## ranyai12 Group Title Can Someone Please Help!! I don;t know what I'm doing wrong!! (The question and my work is attached) http://assets.openstudy.com/updates/attachments/501ec235e4b0be43870f0563-ranyai12-1344193091852-math216new.jpg http://assets.openstudy.com/updates/attachments/501ec235e4b0be43870f0563-ranyai12-1344193118071-img_07531.jpg one year ago one year ago

1. ranyai12 Group Title

@Spacelimbus

2. Spacelimbus Group Title

hmm I can't see the error myself yet, my only guess could be with the fixated values.

3. ranyai12 Group Title

i know that the 3 is wrong but idk why

4. Spacelimbus Group Title

The Jacobian Matrix looks right to me too, have you tried with different fixated values? other critical points I mean, I see you have found three of them.

5. ranyai12 Group Title

yea and they all seem to be wrong somehow one of the values in the jacobian end up being wrong

6. Spacelimbus Group Title

so it seems like the critical points are the problem then, not your setup.

7. Spacelimbus Group Title

$\Large x'=y \\ \Large y'=3x-3x^3$ yes?

8. ranyai12 Group Title

yea

9. ranyai12 Group Title

but my critical points are correct because in a previous question it asked to solve for all the critical points and this was a follow up question

10. Spacelimbus Group Title

yes I see.

11. Spacelimbus Group Title

$\Large J(x,y)=\left[\begin{matrix}0 & 1 \\ -9x^2+3 & 0\end{matrix}\right]$

12. ranyai12 Group Title

I caught my mistake!!!

13. Spacelimbus Group Title

oh? Mind to share?

14. Spacelimbus Group Title

I haven't seen it yet.

15. ranyai12 Group Title

when i plugged in the critical poiints into the jacobian there was an algebraic error so the jacobian wouldve been 0 1 -6 0

16. Spacelimbus Group Title

point (1,0) huh?

17. ranyai12 Group Title

yea

18. Spacelimbus Group Title

hmm I understand it for that point, but I am not sure why point (0,0) shouldn't work, if it's in fact a critical point.

19. ranyai12 Group Title

because this question is asking for the first critical point we found, which we had to put in order from lowest value ot highest, and so we had to use (-1,0)

20. Spacelimbus Group Title

Oh I understand, I wasn't aware of that. (-: Well, well done!

21. ranyai12 Group Title

Thank you!!!