The solution of differential equation `x^2=1` `+(x/y)^(-1)(dy)/(dx)+((x/y)^2((dy)/(dx))^2)/(2!)+((x/y)^(-1)((dy)/(dx))^3)/(3!)+ i s` (a) `( b ) (c) (d) y^(( e )2( f ))( g )=( h ) x^(( i )2( j ))( k )(( l ) (m)1n( n ) x^(( o )2( p ))( q )-1( r ))( s )` (t) (u) `( v ) (w) y=( x ) x^(( y )2( z ))( a a )(( b b ) (cc)1n x-1( d d ))+c (ee)` (ff) (gg) `( h h ) (ii) (jj) y^(( k k )2( l l ))( m m )=x(( n n ) (oo)1nx-1( p p ))( q q )` (rr) (d) `( s s ) (tt) y=( u u ) x^(( v v )2( w w ))( x x ) (yy) e^( z z ) (aaa) (bbb) x^((( c c c )2( d d d ))( e e e ) (fff))( g g g )+c (hhh)` (iii)

Options

A. `y^(2)=x^(2) ( ln x^(2) - 1) +C `
B. `y=x^(2)(ln x -1) + C `
C. `y^(2) = x ( ln x - 1) + C `
D. `y= x^(2) e^(x^(2)) + C `

Answer

A