The General Solution of the Exact Differential Equation Is

A)

Multiple Choice

The general solution of the exact differential equation $\left( \frac { x ^ { 2 } } { y ^ { 2 } } \cos \left( \frac { x } { y } \right) \right) \frac { d y } { d x } = \frac { x } { y } \cos \left( \frac { x } { y } \right) + \sin \left( \frac { x } { y } \right) + \cos x$ is

A) $- x \sin \left( \frac { y } { x } \right) - \sin x = C$
B) $x \sin \left( \frac { x } { y } \right) + \sin x = C$
C) $- x \sin \left( \frac { x } { y } \right) - \sin x = C$
D) $- x \sin \left( \frac { x } { y } \right) + \sin x = C$
E) $x \sin \left( \frac { x } { y } \right) - \sin x = C$