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

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.