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The solution of the differential equatio...

The solution of the differential equation `3xy' - 3y + (x^(2) - y^(2))^(1//2) = 0`, satisfying the condition y(1) = 1 is

A

`3 Cos^(-1)((y)/(x)) = ln|x|`

B

`3 cos ((y)/(x)) = ln|x|`

C

`3 Cos^(-1)((y)/(x)) = 2 ln |x|`

D

`3 Sin^(-1)((y)/(x)) = ln|x|`

Text Solution

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The correct Answer is:
A
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