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anonymous
 3 years 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' =
anonymous
 3 years 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' =

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and we should find out (x,y)=(x,x')=state space vector.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0idk thatswhat tge directions say exactly i just copied and pasted we also had to solve for critical points which i already did

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1344182958485:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1344183055225:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wait howd you solve that?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yea i got the critical points but I used the jacobie eigenvalue

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the problem has three critical points that I showed you.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how did ou see that x'=y

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Those 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
 3 years ago
Best ResponseYou've already chosen the best response.0state 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
 3 years ago
Best ResponseYou've already chosen the best response.0So (x,v,a)=(x,x',x") is a state space vector.
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