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The slope of a curve at any point (x, y)...

The slope of a curve at any point (x, y) other than the origin, is `y+y/(x)`. Then, the equation of the curve is

A

`y=Cxe^(x)`

B

`y=x(e^(x)+C)`

C

`xy=Ce^(x)`

D

`y+xe^(x)=C`

Text Solution

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The correct Answer is:
D
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