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The elimination of the arbitrary constan...

The elimination of the arbitrary constant k from the equation `y=(x+k)e^-x` gives the differential equation

A

`(dy)/(dx)-y=e^-x`

B

`(dy)/(dx)-ye^x=1`

C

`(dy)/(dx)+ye^x=1`

D

`(dy)/(dx)+y=e^-x`.

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