The Differential Equation $( - x y \sin x + 2 y \cos x ) d x + 2 x \cos x d y = 0$

question 26

Multiple Choice

The differential equation $( - x y \sin x + 2 y \cos x ) d x + 2 x \cos x d y = 0$ is

• A) exact with solution \(- x y \cos x + y \sin x + 2 x y \cos x = c\)
• B) exact with solution \(- x y \cos x + y \sin x + 2 x y \cos x + c\)
• C) exact with solution \(- 2 x y \cos x + y \sin x + 2 x y \cos x = c\)
• D) not exact but having an integrating factor xy
• E) not exact but having an integrating factor y

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