The solution of the DE `cos x (1 + cosy )dx - sin y (1+ sin x ) dy=0 ` isA. `1 + sin x cos y = C `B. ` (1 + sin x ) (1 + cos y ) = C `C. `sinx cos y + cos x = C `D. none of these

The solution of the DE `cos x (1 + cosy )dx - sin y (1+ sin x ) dy=0 `

1.	The solution of the DE `cos x (1 + cosy )dx - sin y (1+ sin x ) dy=0 ` isA. `1 + sin x cos y = C `B. ` (1 + sin x ) (1 + cos y ) = C `C. `sinx cos y + cos x = C `D. none of these
Answer» Correct Answer - B `int (cos x )/((1 +sin x )) dx - int (sin y )/((1+ cos y )) dy = log C` ` rArr log (1 + sin x ) + log (1 + cos y ) = log C rArr (1 + sin x ) (1 + cos y ) =C`.