一类二阶变系数非齐次线性微分方程的通解  

The General Solution of a Class of Second Order Nonhomogeneous Linear Differential Equations with Variable Coefficients

作　　者：高焕江[1] 徐迅迅 张翠丽[1] GAO Huan-jiang;XU Xun-xun;ZHANG Cui-li(Mathematics Teaching and Research Department,Xingtai Medical College,Xingtai Hebei 054000,China)

机构地区：[1]邢台医学高等专科学校数学教研室

出　　处：《大学数学》2019年第6期122-126,共5页College Mathematics

摘　　要：通过在二阶变系数非齐次线性微分方程两边同乘以某个积分因子将该方程转化为常系数非齐次线性微分方程,进而得出二阶变系数非齐次线性微分方程的通解公式.By multiplying the two sides of the second-order variable coefficient nonhomogeneous linear differential equation by an integrating factor,the equation is transformed into a constant coefficient nonhomogeneous linear differential equation,and the general solution formula of the second-order variable coefficient nonhomogeneous linear differential equation is obtained.

关 键 词：线性微分方程 变系数 积分因子 

分 类 号：O175.1[理学—数学]