I will introduce the differential Brauer group for schemes over a field of characteristic 0. This is constructed from Azumaya algebras equipped with a connection by requiring that faithful projective modules defining the equivalence relation should also have a connection and that maps should preserve the differential structure. A Grothendieck topology that allows solutions of differential equations in a covering provides an interesting perspective on this group and its relation to Hodge theory. Most of the focus will be on the affine setting since all Azumaya algebras can then be equipped with a connection.