Summary: The purpose of this paper is to evaluate the accuracy with which the location of laminar separation can be predicted on two-dimensional and axisymmetric bodies using a new boundary-layer equations. The evaluation was made by studying several flows for which comparisons with previously published results are possible. Predictions were also made for the separation points of some general classes of external flows for which complete solution do not yet exist, including one that exhibits incipient separation. It was concluded from the study that the method predicts separation points with the reliability and accuracy needed for aerodynamic design purposes.