Which of the Following Is a Solution of the Differential $\frac { d y } { d x } + 2 x y = x$

question 131

Multiple Choice

Which of the following is a solution of the differential equation $\frac { d y } { d x } + 2 x y = x$ ?

• A) \(y = 1 + e ^ { - x ^ { 2 } }\)
• B) \(y = e ^ { 2 x }\)
• C) \(y = x e ^ { - x ^ { 2 } }\)
• D) \(y = 1 + e ^ { - x ^ { 2 } }\)
• E) \(y = \frac { 1 } { 2 } + e ^ { - x ^ { 2 } }\)
• F) \(y = e ^ { - x ^ { 2 } }\)
• G) \(y = \frac { 1 } { 2 } + e ^ { x ^ { 2 } }\)
• H)None of these

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