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

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

Correct Answer:

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