The General Solution of the Bernoulli Equation $3 \left( 1 + x ^ { 2 } \right) y ^ { \prime } + 2 x y = 2 x y ^ { 4 }$

Multiple Choice

The general solution of the Bernoulli equation $3 \left( 1 + x ^ { 2 } \right) y ^ { \prime } + 2 x y = 2 x y ^ { 4 }$ is

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