When the hydraulic conductivity of an aquifer is a function of direction only, the aquifer is referred to as homogeneous and anisotropic. Anisotropic aquifers are a common occurrence in nature. The effect of anisotropy on the flow of groundwater has been of concern to many hydrologists. Nearly all solutions of flow problems now available do not take into consideration such effects. The process of obtaining such solutions, however, can be used to obtain solutions for problems in homogeneous and anisotropic aquifers. Boundary‐value problems describing the flow in homogeneous anisotropic mediums may be changed by using a simple transformation of coordinates to problems whose solutions are either available or can be obtained through the usual processes of mathematical analysis. Although the process of carrying out the transformation to completion is routine to hydrologists who are versed in mathematical analysis, it is not routine to many active and experienced hydrologists. Solutions are presented herein for the drawdown around wells in homogeneous anisotropic aquifers which, during the period of pumping and the subsequent period of recovery, may be assumed for all practical purposes to be infinite in areal extent. (Key words: Groundwater; hydraulics; wells.)