The solution of the differential equatio...

The solution of the differential equation `(xcoty+logcosx)dy+(logsiny-ytanx)dx=0` is (a) `( b ) (c) (d) (e)(( f ) (g)sinx (h))^(( i ) y (j))( k )( l ) (m)(( n ) (o)cosy (p))^(( q ) x (r))( s )=c (t)` (u) (v) `( w ) (x) (y) (z)(( a a ) (bb)siny (cc))^(( d d ) y (ee))( f f )( g g ) (hh)(( i i ) (jj)cosx (kk))^(( l l ) y (mm))( n n )=c (oo)` (pp) (qq) `( r r ) (ss) (tt) (uu)(( v v ) (ww)sinx (xx))^(( y y ) x (zz))( a a a )( b b b ) (ccc)(( d d d ) (eee)cosy (fff))^(( g g g ) y (hhh))( i i i )=c (jjj)` (kkk) (d) None of these

`(sinx)^(y)(cosy)^(x)=c`

`(siny)^(x)(cosx)^(y)=c`

`(sinx)^(x)(cosy)^(y)=c`

None of these

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The correct Answer is:

`(xcoty+logcosx)dy+(log siny-ytanx)dx=0`
or `intd(xlogsiny)+intd(ylogcosx)=0`
or `xlogsiny+ylogcosx=logc`
or `(siny)^(x)(cosx)^(y)=c`

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