采用变量代换、降阶和欧拉方法,给出了一类含未知函数一阶导数项的二阶常系数非齐次线性微分方程组的通解,并通过算例验证了通解公式的正确性。
By the methods of variable substitution, reducing order and Euler's eigenvalue, the general solution formula to one kind of second order linear non-homogeneous differential equations with constant coefficient containing order 1 derivative item of unkown function is obtained. Through verification, the general solution formulae are valid.