The problem dealing with the unsteady two-dimensional boundary layer flow of a viscous fluid past an impulsively started infinite plate moving parallel to itself with a constant velocity has been investigated. The fluid at infinity is assumed to be flowing with a constant free-stream velocity. By using the appropriate transformations for the stream function, the basic governing equations are reduced to a single equation. This equation is solved analytically subject to the relevant boundary conditions by homotopy analysis method. The present analytic solution is uniformly valid for all time. Finally, the results are discussed through graphs.
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