Solve the Initial-Value Problem $$x y ^ { t } = y + x ^ { 2 } \sin x , \quad y ( 7 \pi ) = 0$$

Multiple Choice

Solve the initial-value problem. Select the correct answer.
$$x y ^ { t } = y + x ^ { 2 } \sin x , \quad y ( 7 \pi ) = 0$$

A) $y = x \sin x - 7 x$
B) $y = 7 x \sin x$
C) $y = - x \cos x - x$
D) $y = 7 x \cos x - \sin x$
E) $y = - x \sin x + 7 x$