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The solution of (dy)/(dx)+y=e^(-x),y(0)=...

The solution of `(dy)/(dx)+y=e^(-x),y(0)=0`, is

A

`y=e^(-x)(x-1)`

B

`y=xe^x`

C

`y=xe^(-x)+1`

D

`y=xe^(-x)`

Text Solution

Verified by Experts

The correct Answer is:
D
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