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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)`

Text Solution

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The correct Answer is:
D
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