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ranyai12
Group Title
Consider the spring model
x''−3x+3(x^3)=0
where the linear part of the spring is repulsive rather than attractive (for a normal spring it is attractive). Rewrite this as a system of firstorder equations in x and y=x.
x' =
y' =
 one year ago
 one year ago
ranyai12 Group Title
Consider the spring model x''−3x+3(x^3)=0 where the linear part of the spring is repulsive rather than attractive (for a normal spring it is attractive). Rewrite this as a system of firstorder equations in x and y=x. x' = y' =
 one year ago
 one year ago

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TuringTest Group TitleBest ResponseYou've already chosen the best response.0
I am thinking that there is a typo... are you sure it says rewrite as \[y=x\]?
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
and we should find out (x,y)=(x,x')=state space vector.
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
idk thatswhat tge directions say exactly i just copied and pasted we also had to solve for critical points which i already did
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
dw:1344182958485:dw
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
whats whats y= to?
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
dw:1344183055225:dw
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
wait howd you solve that?
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
yea i got the critical points but I used the jacobie eigenvalue
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
i mean jacoby value
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
the problem has three critical points that I showed you.
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
how did ou see that x'=y
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
Those of the problems like yours we should define a state space vector that includes independent component ,usually x and its derivatives are selected as components.
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
whats space vector?
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
state space vector is a vector which include all independent variable in a system. for example place velocity . acceleration are three component require to know in a third order system.
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
So (x,v,a)=(x,x',x") is a state space vector.
 one year ago

ranyai12 Group TitleBest ResponseYou've already chosen the best response.0
oh ok! thank you!!
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.2
you're welcome.
 one year ago
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