Question

Can Someone Please Help!! I don;t know what I'm doing wrong!! (The question and my work is attached)

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Answer 1

@Spacelimbus

Answer 2

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

Answer 3

i know that the 3 is wrong but idk why

Answer 4

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.

Answer 5

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

Answer 6

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

Answer 7

\[\Large x'=y \\ \Large y'=3x-3x^3 \]
yes?

Answer 8

yea

Answer 9

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

Answer 10

yes I see.

Answer 11

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

Answer 12

I caught my mistake!!!

Answer 13

oh? Mind to share?

Answer 14

I haven't seen it yet.

Answer 15

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

Answer 16

point (1,0) huh?

Answer 17

yea

Answer 18

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.

Answer 19

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)

Answer 20

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

Answer 21

Thank you!!!