设线性无关函数y1、y2、y3都是二阶非齐次线性方程y''+p(x)y‘+Q(x)y=f(x)的解,c1、c2是待定常数。则此方程的通解是:
A.c1y1+c2y2+y3 B.c1y1+c2y2-(c1+c3)y3 C.c1y1+c2y2-(1-c1-c2)y3 D.c1y1+c2y2+(1-c1-c2)y3正确答案D
设线性无关函数y1、y2、y3都是二阶非齐次线性方程y''+p(x)y‘+Q(x)y=f(x)的解,c1、c2是待定常数。则此方程的通解是:
A.c1y1+c2y2+y3 B.c1y1+c2y2-(c1+c3)y3 C.c1y1+c2y2-(1-c1-c2)y3 D.c1y1+c2y2+(1-c1-c2)y3正确答案D