Solution of the differential equation `(y+xsqrt(x y)(x+y))dx+(ysqrt(x y)(x+y)-x_()dy=0` is (a) `( b ) (c) (d)(( e ) (f) x^(( g )2( h ))( i )+( j ) y^(( k )2( l ))( m ))/( n )2( o ) (p)+( q ) (r)tan^(( s ) (t)-1( u ))( v )sqrt(( w ) (x) (y) y/( z ) x (aa) (bb) (cc))( d d )=c (ee)` (ff) (gg) `( h h ) (ii) (jj)(( k k ) (ll) x^(( m m )2( n n ))( o o )+( p p ) y^(( q q )2( r r ))( s s ))/( t t )2( u u ) (vv)+2( w w ) (xx)tan^(( y y ) (zz)-1( a a a ))( b b b )sqrt(( c c c ) (ddd) (eee) x/( f f f ) y (ggg) (hhh) (iii))( j j j )=c (kkk)` (lll) (mmm) `( n n n ) (ooo) (ppp)(( q q q ) (rrr) x^(( s s s )2( t t t ))( u u u )+( v v v ) y^(( w w w )2( x x x ))( y y y ))/( z z z )2( a a a a ) (bbbb)+2( c c c c ) (dddd)cot^(( e e e e ) (ffff)-1( g g g g ))( h h h h )sqrt(( i i i i ) (jjjj) (kkkk) x/( l l l l ) y (mmmm) (nnnn) (oooo))( p p p p )=c (qqqq)` (rrrr) (d) None of these