A plasma in contact with an external source of power, especially a source that interacts specifically with highvelocity electrons, exhibits transport properties, such as conductivity, different from those of an isolated plasma near thermal equilibrium. This is true even when the bulk of the particles in the driven plasma is near thermal equilibrium. To describe the driven plasma, we derive an adjoint equation to the inhomogeneous, linearized, dynamic Boltzmann equation. The Green’s functions for a variety of plasma responses can then be generated. It is possible to modify the Chapman–Enskog [Mathematical Theory of Nonuniform Gases, 3rd ed., (Cambridge U.P., Cambridge, MA, 1970)] expansion in order to incorporate the response functions derived here.