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sage: maxima('E1:[x1,x2]/sqrt(x1^2+y^2)^3');         
sage: maxima('E2:subst(x1-1,x1,E1)');                
sage: maxima('E:E1-E2');                             
sage: maxima('plotdf(E,[x1,x2],[x1,-1,2],[x2,-1,1])')

Every click in the obtained vector field gives you a new trajectory