  We show that the term `superdifferential equation' has been employed in the
literature to refer to different types of differential equations with even and
odd variables. It is justified on physical and mathematical grounds that a
subclass of them, the hereafter called Grassmann-valued differential equations,
cannot be effectively described through supergeometric techniques. Instead, we
analyse them in terms of standard differential equations on Grassmann algebra
bundles. Our considerations are illustrated through examples of physical and
mathematical relevance.
