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The equation of the curve satisfying the...

The equation of the curve satisfying the differential equation `(dy)/(dx)+(y)/(x^(2))=(1)/(x^(2))` and passing through `((1)/(2),e^(2)+1)` is

A

`y=e^(x)+1`

B

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

C

`y=1+e^((1)/(x))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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