Solve the Differential Equation $$y ^ { t } = x ^ { 2 } e ^ { - \sin x } - y \cos x$$

Multiple Choice

Solve the differential equation. Select the correct answer.
$$y ^ { t } = x ^ { 2 } e ^ { - \sin x } - y \cos x$$

A) $y = 2 \mathrm { Ce } e ^ { - \sin x }$
B) $y = e ^ { - \sin x } + 2 C x ^ { 2 }$
C)
$y = \frac { 1 } { 3 } x + C e ^ { - \cos x }$
D) $y = \left( 3 x ^ { 3 } + C \right) e ^ { - x } \sin x$
E)
$y = \left( \frac { 1 } { 3 } x ^ { 3 } + C \right) e ^ { - \sin x }$