Find the Solution to the Differential Equation $y ^ { \prime } = \frac { 8 } { 1 + y }$

Multiple Choice

Find the solution to the differential equation $y ^ { \prime } = \frac { 8 } { 1 + y }$ satisfying $y ( 0 ) = 6$ .Select all that apply.

A) $y + y ^ { 2 } = 8 x + 42$
B) $y + \frac { y ^ { 2 } } { 2 } = 8 x + 24$
C) $\frac { y } { 2 } + \frac { y ^ { 2 } } { 2 } = 8 x + 21$
D) $\frac { ( 1 + y ) ^ { 2 } } { 2 } = 8 x + \frac { 49 } { 2 }$