Analytical solutions to the one-dimensional, linearized moisture flow equation are presented. The surface boundary condition is taken either as a time-varying flux, time-varying water content, or with the flux as a linear function of the water content. A semi-infinite, vertical flow medium is considered with arbitrary initial conditions. Calculations for a cyclic flux input are compared to the associated nonlinear, finite difference solution for five simulations using data from two soils. The results are encouraging in that the same general profiles are obtained. The solution is believed to have particular merit to describe moisture regimes resulting from a high frequency irrigation schedule.