The General Solution of the First-Order Differential Equation $( x + 1 ) y ^ { \prime } - 2 y = ( x + 1 ) ^ { 4 }$

Multiple Choice

The general solution of the first-order differential equation $( x + 1 ) y ^ { \prime } - 2 y = ( x + 1 ) ^ { 4 }$ is

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