Analytic solutions for accretion rate evolution in disc without outflow with fixed z₀/r (l = 1/3). At late times, the evolution is exponential in the disc with the constant outer radius (orange; Lipunova 2015) and power law, when the outer radius is expanding (blue; Lynden-Bell & Pringle 1974) For the both solutions, the mass is M_flare = 4M_⊙ and initial ring radius R_out = 90 R_S, which roughly correspond to the minimum flare in a disc around 10⁷ M_⊙ SMBH in Table 1.