Solve the Differential Equation $$y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$$

Solve the differential equation. $$y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$$

A) $y = \left( 6 x ^ { 6 } + C \right) e ^ { - x } \sin x$
B) $y = 5 \mathrm { Ce } e ^ { - \sin x }$
C) $y = \left( \frac { 1 } { 6 } x ^ { 6 } + C \right) e ^ { - \sin x }$
D) $y = e ^ { - \sin x } + 5 C x ^ { 5 }$
E) $y = \frac { 1 } { 6 } x + C e ^ { - \cos x }$

Correct Answer:

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