The study of heat transfer of dusty fluid of an axially symmetrical jet mixing of a compressible fluid has been received considerable attention in the past due to its applications in the industries. The present study focused on the solution of an axially symmetrical jet mixing of a compressible dusty fluid . Assuming the velocity and temperature in the jet to differ slightly from that of the surrounding stream, a perturbation method has been employed to linearize the basic equations. The resulting equations are then solved by Hankel's and Laplace transformation technique. It has been observed that the axial fluid velocity is more than the axial particle velocity near the nozzle exit.