The difference between Dyson DC35 and DC35 Animal is the color and the tools they come with.
The DC35 multi floor is blue while the DC35 Animal is purple; and the DC35 Animal comes with a mini motorized brush bar that is designed for picking up dust and pet hair from upholstery and tight areas, while the DC35 Multi Floor version doesn’t include this little tool. Otherwise, they seem to be the same thing.