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Question
The solution of (y(1+x1)+siny)dx+(x+logx+x cosy)dy=0 is 
Options:
A .  (1+y−1siny)+x−1logx=C  
B .  (y+siny)+xy log x=C  
C .  xy+ylogx+x sin y=C
D .  None of these
Answer: Option C
:
C
The given equation can be written as y(1+x1)dx+(x+logx)dy+sinydx+xcosydy=0
d(y(x+logx))+d(xsiny)=0y(x+logx)+xsiny=C

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