Use a Computer Algebra System (CAS) to Solve the Given $$y ^ { \prime } = \frac { 2 \left( 1 - x ^ { 2 } \right) } { 1 + x ^ { 2 } } , y ( 0 ) = 1$$

Multiple Choice

Use a computer algebra system (CAS) to solve the given initial value problem.
- $$y ^ { \prime } = \frac { 2 \left( 1 - x ^ { 2 } \right) } { 1 + x ^ { 2 } } , y ( 0 ) = 1$$

A) $y = 4 \tan ^ { - 1 } x - 2 x$
B) $y = 2 \ln \left( \frac { x + 1 } { | x - 1 | } \right) - 2 x + 1$
C) $y = 3 \tan ^ { - 1 } x - x + 1$
D) $y = 4 \tan ^ { - 1 } x - 2 x + 1$