The solution of \( \frac{d y}{d x}+y=e^{-x}, y(0)=0 \) is : (A) \( ...

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The solution of \( \frac{d y}{d x}+y=e^{-x}, y(0)=0 \) is :
(A) \( y=e^{x}(x-1) \)
(B) \( y=x e^{-x} \)
\( \mathrm{P} \)
(C) \( y=x e^{-x}+1 \)
(D) \( y=(x+1) e^{-x} \)
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