The General Solution Of $\left( 1 + y ^ { 2 } \right) d x + \left( 1 + x ^ { 2 } \right) d y = 0$

Multiple Choice

The general solution of $\left( 1 + y ^ { 2 } \right) d x + \left( 1 + x ^ { 2 } \right) d y = 0$ is

A) $y = \frac { c + 2 x } { 1 + c x }$
B) $y = \frac { c - 2 x } { 1 + c x }$
C) $y = \frac { c + x } { 1 - c x }$
D) $y = \frac { c - x } { 1 + c x }$
E) $y = \frac { c + x } { 1 + c x }$