  We study string propagation in an anisotropic, cosmological background. We
solve the equations of motion and the constraints by performing a perturbative
expansion of the string coordinates in powers of c^2, the world-sheet speed of
light. To zeroth order the string is approximated by a tensionless string
(since c is proportional to the string tension T). We obtain exact, analytical
expressions for the zeroth and the first order solutions and we discuss some
cosmological implications.
