Within a thin disk approximation some quantities are functions of radius only: j(r), Ω(r), e(r), while others are function of radius and time: Σ(r, t), M(r, ̇ t), ̇J(r, t), ̇E(r, t), F(r, t), g(r, t). Taking this into account the equations (d1.15), (d1.16), (d1.17) may be transformed into. ̇ ∂ M +. ̇ dj.