The solution of the differential equation `((x+2y^3)dy)/(dx)=y` is (a) `( b ) (c) (d) x/( e )(( f ) (g) y^(( h )2( i ))( j ))( k ) (l)=y+c (m)` (n) (b) `( o ) (p) (q) x/( r ) y (s) (t)=( u ) y^(( v )2( w ))( x )+c (y)` (z) (c) `( d ) (e) (f)(( g ) (h) x^(( i )2( j ))( k ))/( l ) y (m) (n)=( o ) y^(( p )2( q ))( r )+c (s)` (t) (d) `( u ) (v) (w) y/( x ) x (y) (z)=( a a ) x^(( b b )2( c c ))( d d )+c (ee)` (ff)

Options

A. y`=x(y^(2)+c)`
B. y`=-x(y^(2)+c)`
C. x`=y(y^(2)+c)`
D. x`=-y(y^(2)+c)`

Answer

C