Solve the Differential Equation $$x \frac { d y } { d x } + 2 y = 5 - \frac { 1 } { x } , x > 0$$

question 30

Multiple Choice

Solve the differential equation.
- $$x \frac { d y } { d x } + 2 y = 5 - \frac { 1 } { x } , x > 0$$

• A) \(y = \frac { 5 x ^ { 2 } - 2 x + C } { 2 x ^ { 2 } } , x > 0\)
• B) \(y = \frac { 5 x ^ { 2 } + 2 x + C } { 2 x ^ { 2 } } , x > 0\)
• C) \(y = \frac { x ^ { 2 } - 5 x + C } { 2 x ^ { 2 } } , x > 0\)
• D) \(y = \frac { 5 x ^ { 2 } - x + C } { 2 x ^ { 2 } } , x > 0\)

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