Solve the Initial Value Problem $$( x + 4 ) \frac { d y } { d x } - 2 \left( x ^ { 2 } + 4 x \right) y = \frac { e ^ { x ^ { 2 } } } { x + 4 } ; x > - 4 , y ( 0 ) = 0$$

question 48

Multiple Choice

Solve the initial value problem.
- $$( x + 4 ) \frac { d y } { d x } - 2 \left( x ^ { 2 } + 4 x \right) y = \frac { e ^ { x ^ { 2 } } } { x + 4 } ; x > - 4 , y ( 0 ) = 0$$

• A) \(y = e ^ { x ^ { 2 } } \left( \frac { x } { 4 x + 16 } \right) , x > - 4\)
• B) \(y = - e ^ { x ^ { 2 } } \left( \frac { x } { 4 x + 16 } \right) , x > - 4\)
• C) \(y = e ^ { - x ^ { 2 } } \left( \frac { x } { 4 x + 16 } \right) , x > - 4\)
• D) \(y = - e ^ { - x ^ { 2 } } \left( \frac { x } { 4 x + 16 } \right) , x > - 4\)

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