找考题网-背景图
单项选择题

设p(x),q(x),f(x)均是x的连续函数,y1(x),y2(x),y3(x)是y"+p(x)y’+q(x)y=f(x)的3个线性无关的解,C1与C2是两个任意常数,则该非齐次方程对应的齐次方程的通解是______.

A.C1y1+(C2+C1)y2+(1-C2)y3
B.(C1-C2)y1+(C2-1)y2+(1-C1)y3
C.(C1+C2)y1+(C1-C2)y2+(1-C1)y3
D.C1y1+C2y2+(1-C1-C2)y3