由于线性无关的函数y1,y2,y3都是二阶线性非齐次方程y″+p(x)y′+q(x)y=f(x)的解∴(y1-y3)和(y2-y3)是y″+p(x)y′+q(x)y=0的两个线性无关的解∴y″+p(x)y′+q(x)y=f(x)的解为y=C1(y1-y3)+C2(y2-y3)+y3