got a question here saying first to find the equlib points of the system xdot=x(x+1) so there obviously 0 and -1(adsbygoogle = window.adsbygoogle || []).push({});

then part 2 is draw the trajectory in the x-xdot plane

the answers are increasing above 0 decreasing between -1 and 0 and increasing at <-1 again for obvious reasons. then i am asked to discuss the nature of the equlibrium points, don't remember doing this and i've lost all of my notes for this topic, it states that the x=0 point is unstable and the x=-1 point is asemptoticaly (i think thats the word) stable, could someone please explain this area, where it comes from and also the other possible answers apart from the 2 above for different situations, thanks

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# Draw the trajectory in the x-xdot plane

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