Solve the Differential Equation $$e ^ { x } \frac { d y } { d x } + 3 e ^ { x } y = 2 , x > 0$$

question 18

Multiple Choice

Solve the differential equation.
- $$e ^ { x } \frac { d y } { d x } + 3 e ^ { x } y = 2 , x > 0$$

• A) \(y = e ^ { - 3 x } + C e ^ { - x } , x > 0\)
• B) \(y = e ^ { - x } + e ^ { - 3 x } , x > 0\)
• C) \(y = e ^ { - x } + C e ^ { - 3 x } , x > 0\)
• D) \(y = e ^ { x } + C e ^ { - 3 x } , x > 0\)

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Definitions:

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The way in which two or more concepts, objects, or individuals are connected, or the state of being connected or interrelated.

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A rise in the cost of goods or services, which can be caused by factors such as higher demand, reduced supply, or increased production costs.

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