The problem of a plane parallel stellar atmosphere is discussed in which there is isotropic scattering at any given optical depth but in which the albedo for single scattering varies with the optical depth. The general solution for the emergent intensity, when the upper and lower surfaces of the atmosphere are subjset to known incident radiation, is shown to depend on the solutions of two independent problems: that in which the atmosphere has a fixed lower surface free from incident radiation and a variable upper surface on which radiation is incident at a fixed angle with the normal, and that in which the roles of the lower and upper surfaces are interchanged. The work of V. V. Sobolev and S. Ueno is discussed. (auth)