with(DEtools):
 de:=diff(x(t),t)=x(t)*(1-x(t)):
 vars:=x(t):
 wind:=t=0..5,x=-0.2..3:
 ic:=[[x(0)=1.2],[x(0)=1],[x(0)=0],[x(0)=0.5]]:
 opts:=stepsize=.2,title=`Verhulst model`,arrows=MEDIUM:
 DEplot(de,vars,wind,ic,opts);