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The General Solution Of (xycos(yx))dx+xcos(yx)dy=0\left( x - y \cos \left( \frac { y } { x } \right) \right) d x + x \cos \left( \frac { y } { x } \right) d y = 0

Question 45

Multiple Choice

The general solution of (xycos(yx) ) dx+xcos(yx) dy=0\left( x - y \cos \left( \frac { y } { x } \right) \right) d x + x \cos \left( \frac { y } { x } \right) d y = 0 is


A) lnxsin(yx) =c\ln x - \sin \left( \frac { y } { x } \right) = c
B) lnx+sin(yx) =c\ln x + \sin \left( \frac { y } { x } \right) = c
C) lnxsin(xy) =c\ln x - \sin \left( \frac { x } { y } \right) = c
D) lnx+sin(xy) =c\ln x + \sin \left( \frac { x } { y } \right) = c
E) lnysin(xy) =c\ln y - \sin \left( \frac { x } { y } \right) = c

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