The equation of the curve satisfying the...

The equation of the curve satisfying the differential equation `(dy)/(dx)+2(y)/(x^(2))=(2)/(x^(2))` and passing through `((1)/(2),e^(4)+1)` is

A

`y=e^(2x)+1`

B

`y=e^((2)/(x))-1`

C

`y=1+e^((2)/(x))`

D

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

Verified by Experts

The correct Answer is:

C

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