Verify that the vector field 6 F(x,y) = (x-y)i + (x+y)j has the flow lines given by x(t) = Ae^(t)cos(t+α)i + Ae^(t)sin(t+α)j where A and α are arbitrary real constants.

Show that the flow lines described follow a generally spiral path, in one case degenerating into a point.