The General Solution of the First-Order Differential Equation $y ^ { \prime } + y \cot x = 3 e ^ { \cos x }$

Multiple Choice

The general solution of the first-order differential equation $y ^ { \prime } + y \cot x = 3 e ^ { \cos x }$ is

A) $y \cos x = 3 e ^ { \cos x } + C$
B) $y \sin x = 3 e ^ { \cos x } + C$
C) $y \cos x = - 3 e ^ { \sin x } + C$
D) $y \sin x = - 3 e ^ { \sin x } + C$
E) $y \sin x = - 3 e ^ { \cos x } + C$