Equilibrium Points and Trajectories in the x-xdot Plane

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In summary, the conversation discusses the first order differential equation dx/dt=x2 -3x-10 and finding the equilibrium points in the x-xdot plane. The participants also briefly mention the difference between xdot and xdotdot in terms of velocity and acceleration.
  • #1
franky2727
132
0
ive encountered xdot and x questions before but never one written in this dx/dt format so i don't know what to do?

given the first order differential equation dx/dt=x2 -3x-10 find the equlibrium points in the x--xdot plane and draw the trajectory in the plane indicate the time directions and discuss the natures of the equlibrium points
 
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  • #2
franky2727 said:
ive encountered xdot and x questions before but never one written in this dx/dt format so i don't know what to do?

If I tell you that dx/dt and [itex]\dot x[/itex] are just different notation for the same thing, can you do it then?
 
  • #3
i can ye lol, is Xdot just distance in relation to time then?
 
  • #4
and are you referring to dx/dt=xdot or xdot dot
 
  • #5
usually xdotdot is acceleration
and xdot is velocity
so xdot: dx/dt
xdotdot : d2x/dt2
 

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