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

question 38

Multiple Choice

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

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