In this study the integral form of the radiative transfer equation in a two-layer inhomogeneous slab for linearly anisotropic scattering has been solved using the Galerkin-iterative technique. The medium is considered to have internal space dependent energy source, diffusely and specularly reflecting boundaries, interface transmission and diffuse surface source. The reflection, the transmission coefficients, incident energy and the net radiative heat flux through the medium has been calculated for different media. The calculation was carried out for inhomogeneous media of transparent, diffusely and specularly reflecting boundaries with isotropic, forward and backward linear anisotropic scattering. Results obtained for isotropic scattering in homogeneous and inhomogeneous media of source free problem are compared with the previous work and an excellent agreement has been achieved.