<p>Growth properties of entire function solutions of certain homogeneous partial differential equations have been discussed by various authors. The growth estimates of entire/analytic function solutions of non-homogenous partial differential equations have not been studied so far. Therefore, in this paper, we tried to bridge this gap. Moreover, the classical order, lower order, and type of entire function solutions of non-homogeneous partial differential equations of generalized axially symmetric potential theory in terms of coefficients occurring in its power series expansion in two complex variables have been obtained.</p>