关键词: partial differential equations, integrating method, thick plate, thermo-force bending

Abstract: A theorem of solving a system of linear non-homogeneous differential equations through integrating and adding its basic solutions is put forward and proved,the mathematical role and physical nature of the theorem is interpreted briefly. As an example,the theorem is applied to solve the problem of thermo-force bending of a thick plate.

Key words: partial differential equations, integrating method, thick plate, thermo-force bending