with(DEtools): de:=diff(x(t),t)=x(t)*(2-x(t)): var:=x(t):tDomain:=t=0..5: dots:=[[x(0)=1],[x(0)=1.5],[x(0)=2.2],[x(0)=-0.2]]: wind:=x=-2..3: opts:=linecolor=BLACK,thickness=3,stepsize=0.1: DEplot(de,var,tDomain,dots,wind,opts); # This plot can also be carried out from a GUI Tool in maple 12 and 13. # To find it, start java maple 12 or 13, then goto menu item # TOOLS ==> ASSISTANTS ==> ODE ANALYZER # An equivalent command in either a java or non-java worksheet is dsolve[interactive](); # Once started, enter the differential equation as ## diff(x(t),t)=x(t)*(2-x(t)) # and the initial condition as ## x(0)=1.5 # Try buttons ## SOLVE SYMBOLICALLY ### Click on SHOW MAPLE COMMANDS ## SOLVE ## PLOT