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The equation of the curve satisfying the...

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

A

`y=x^(2)+3`

B

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

C

`y=sin(x-1)+4`

D

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

Text Solution

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The correct Answer is:
B
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