$\text { Solve the differential equation } \frac { d y } { d x } = \left( e ^ { x } + 8 \right) ^ { 2 } \text {. }$

question 34

Multiple Choice

$\text { Solve the differential equation } \frac { d y } { d x } = \left( e ^ { x } + 8 \right) ^ { 2 } \text {. }$

• A) \(y = e ^ { 2 x } + 8 e ^ { x } + 64 x + C\)
• B) \(y = \frac { 1 } { 2 } e ^ { 2 x } + 16 e ^ { x } + 64 x + C\)
• C) \(y = e ^ { 2 x } + 64 e ^ { x } + 16 x + C\)
• D) \(y = \frac { 1 } { 2 } x e ^ { 2 x } + 16 e ^ { x } + 8 x + C\)
• E) \(y = \frac { 1 } { 2 } x e ^ { 2 x } + 8 e ^ { x } + 64 x + C\)

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