设 $y_1, y_2$ 是二阶线性方程 $y^{\prime \prime}+p(x) y^{\prime}+q(x) y=0$ 的两个解,那么 $y=C_1 y_1+ C_2 y_2\left(C_1, C_2\right.$ ,是任意常数)是该方程通解的充分必要条件是
A
$y_1^{\prime} y_2+y_1 y_2^{\prime}=0$ ;
B
$y_1^{\prime} y_2+y_1 y_2^{\prime} \neq 0$ ;
C
$y_1^{\prime} y_2-y_1 y_2^{\prime}=0$ ;
D
$y_1^{\prime} y_2-y_1 y_2^{\prime} \neq 0$ .
E
F