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

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

Correct Answer:

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