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The solution of the differential equatio...

The solution of the differential equation `(1-x^(2))(dy)/(dx)-xy=1` is (where, `|x|lt1, x in R` and C is an arbitrary constant)

A

`y(1-x^(2))=tan^(-1)x+C`

B

`ysqrt(1-x^(2))=tan^(-1)x+C`

C

`ysqrt(1-x^(2))=sin^(-1)(x)+C`

D

`y.(1-x^(2))=sin^(-1)x+C`

Text Solution

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The correct Answer is:
C
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