By the methods of function transformation, non-homogeneous linear differential equations of constant coefficient of 2-order are reduced into integrable linear differential equations of 1-order. It obtains special solution of a kind of special differential equations. This method is more simple and direct than variable replacement method to make Euler equation transform linear differential equation of constant coefficient.
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YAN Li,胡劲松.用函数变换法求解二阶欧拉方程[J].西昌学院学报(自然科学版),2008,(2):36-38.