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Analytical investigation of time-dependent accretion in disks is carried out.We consider a time-dependent disk in a binary system at outburst which has afixed tidally-truncated outer radius. The standard Shakura-Sunyaev model of thedisk is considered. The vertical structure of the disk is accurately describedin two regimes of opacity: Thomson and free-free. Fully analytical solutionsare obtained, characterized by power-law variations of accretion rate withtime. The solutions supply asymptotic description of disk evolution in flaringsources in the periods after outbursts while the disk is fully ionized. TheX-ray flux of multicolor (black-body) alpha-disk is obtained as varyingquasi-exponentially. Application to X-ray novae is briefly discussed concerningthe observed faster-than-power decays of X-ray light curves. The case oftime-dependent advective disk when the exponential variations of accretion ratecan occur is discussed.

New solution to viscous evolution of accretion disks in binary systems