Which of the following is the solution of the given differential equation? y'=1+\( { y}^{ 2} \)/1+ \( { x}^{ 2} \)

A\(\tan^{-1} {y}\) = \(\tan^{-1} {x}\) + B \(\tan^{-1} {y}\) = \(\tan^{-1} {x}\) + A A\(\tan^{-1} {y}\) = C\(\tan^{-1} {x}\) + B A\(\tan^{-1} {y}\) = C\(\tan^{-1} {x}\)

\(\tan^{-1} {y}\) = \(\tan^{-1} {x}\) + A

Number of arbitrary constants is equal to the order of the equation.