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We provide an analytic solution for the problem of the unsteady, incompressible viscous fluid flow in the case of variable suction/blowing by applying similarity transform; the slip condition at the boundary is considered. Several special cases with their solutions are given and are discussed graphically. It is observed that with an increase in suction the velocity increases and hence the boundary layer thickness decreases and with increase in blowing the velocity decreases and boundary layer thickness increases. It is also found that with an increase in slip parameter the velocity decreases.