Using the assumption Z (x, y)‎ = e∫u(x)‎ dx + ∫v(y)‎ dy for solving some kinds of linear third order P.D.Es

Abstract EN

The main aim of this research is to find the complete solution of some kinds of linear partial differential equations of third order with constant coefficients which have the general form AZxxx + BZyyy + CZxxy + DZxyy + EZxx + FZyy + GZxy + HZx + IZy + JZ = 0 By using the assumption This assumption will transform the above equation to the non-linear second order ordinary differential equation with two independent functions which have the general form .