设y1(x),y2(x)为二阶常系数齐次线性方程y"+py'+qy=0的两个特解,则
题型:单项选择题
问题:
设y1(x),y2(x)为二阶常系数齐次线性方程y"+py'+qy=0的两个特解,则c1y1(x)+c2y2(x)(c1,c2为任意常数)是该方程通解的充分必要条件是
A.y1(x)y'2(x)-y2(x)y'1(x)=0.
B.y1(x)y'2(x)-y2(x)y'1(x)≠0.
C.y1(x)y'2(x)+y2(x)y'1(x)=0.
D.y1(x)y'2(x)+y2(x)y'1(x)≠0.