Differential charge exchange cross sections are presented for ^4He^++ incident on an H(ls) atom for projectile energies of 3, 8, and 2 keV. A molecular state basis and straight line impact parameter formalism are used in the semiclassical eikonal approximation. Calculations were made with a ten state basis modified by Bates and McCarroll plane-wave translational factors and with an unmodified four state basis. Only cross sections corresponding to electron transfer into He+ (n = 2) states are included. Large and small angle oscillations are examined in terms of a diffractive scattering process. These results are consistent with other theoretical calculations.