anonymous
  • anonymous
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 first-order equations in x and y=x. x' = y' =
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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TuringTest
  • TuringTest
I am thinking that there is a typo... are you sure it says rewrite as \[y=x\]?
anonymous
  • anonymous
y=x'
anonymous
  • anonymous
and we should find out (x,y)=(x,x')=state space vector.

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anonymous
  • anonymous
idk thatswhat tge directions say exactly i just copied and pasted we also had to solve for critical points which i already did
anonymous
  • anonymous
|dw:1344182958485:dw|
anonymous
  • anonymous
whats whats y= to?
anonymous
  • anonymous
|dw:1344183055225:dw|
anonymous
  • anonymous
wait howd you solve that?
anonymous
  • anonymous
yea i got the critical points but I used the jacobie eigenvalue
anonymous
  • anonymous
i mean jacoby value
anonymous
  • anonymous
the problem has three critical points that I showed you.
anonymous
  • anonymous
how did ou see that x'=y
anonymous
  • anonymous
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.
anonymous
  • anonymous
whats space vector?
anonymous
  • anonymous
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.
anonymous
  • anonymous
So (x,v,a)=(x,x',x") is a state space vector.
anonymous
  • anonymous
oh ok! thank you!!
anonymous
  • anonymous
you're welcome.

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