Solution of second order partial differential equations with variable coefficients

الملخص EN

Our aim in this paper is to solve some special types of second order partial differential equations with variable coefficients and the general form : F1 (x, y) Zxx + F2 (x, y) Zxy + F3 (x, y) Zyy + F4 (x, y) Zx + F5 (x, y) Zy + F5 (x, y) Z = 0 Such that F1 (x, y), F2 (x, y), F3 (x, y), F4 (x, y), and F5 (x, y) are functions of X and y, by using the assumption Z (x, y) = e∫▒〖xU (x)dx 〗 + ∫▒〖v (y)dy 〗This assumption will transforms the second order partial differential equations to first order linear ordinary differential equations with two independent functions U (x) andV (y).