There is produced a parallel algorithm for symbolic  solvingsystems of partial differential equations by means of multivariateLaplace-Carson transform. There is considered a system of nequations with m as the greatest order of partial derivatives andright hand parts of a special type. Initial and conditions areinput. As a result of Laplace-Carson transform of the systemaccording to initial condition we obtain an algebraic system ofequations. A method to obtain compatibility conditions isdiscussed.