The solution of the DE ` (dy)/(dx) = (- 2 xy )/( ( x ^(2) + 1))` isA. `y ^(2) (x + 1) = C `B. ` y (x ^(2) + 1 ) =C `C. `x ^(2) ( y + 1 ) = C `D. none of these

The solution of the DE ` (dy)/(dx) = (- 2 xy )/( ( x ^(2) + 1))` isA.

1.	The solution of the DE ` (dy)/(dx) = (- 2 xy )/( ( x ^(2) + 1))` isA. `y ^(2) (x + 1) = C `B. ` y (x ^(2) + 1 ) =C `C. `x ^(2) ( y + 1 ) = C `D. none of these
Answer» Correct Answer - B `int (1)/(y) dy = int (- 2x )/(( x ^(2) + 1 )) dx rArr log y + log (x ^(2) + 1 ) = log C`. ` therefore y (x^(2) + 1 ) =C`.