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

question 104

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) \(\frac { ( 1 + y ) ^ { 2 } } { 2 } = 8 x + \frac { 49 } { 2 }\)

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