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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
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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TuringTestBest 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

mahmit2012Best ResponseYou've already chosen the best response.2
and we should find out (x,y)=(x,x')=state space vector.
 one year ago

ranyai12Best 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

mahmit2012Best ResponseYou've already chosen the best response.2
dw:1344182958485:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.2
dw:1344183055225:dw
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
wait howd you solve that?
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
yea i got the critical points but I used the jacobie eigenvalue
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.2
the problem has three critical points that I showed you.
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
how did ou see that x'=y
 one year ago

mahmit2012Best 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

mahmit2012Best 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

mahmit2012Best ResponseYou've already chosen the best response.2
So (x,v,a)=(x,x',x") is a state space vector.
 one year ago
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