Equilibrium Points and Trajectories in the x-xdot Plane

[franky2727]

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

 

[CompuChip]

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 \dot x are just different notation for the same thing, can you do it then?

 

[franky2727]

i can ye lol, is Xdot just distance in relation to time then?

 

[franky2727]

and are you referring to dx/dt=xdot or xdot dot

 

[eri1125]

usually xdotdot is acceleration
and xdot is velocity
so xdot: dx/dt
xdotdot : d²x/dt²