The solution of dy/dx=sqrt(1-x^2-y^2+x^2...

The solution of `dy/dx=sqrt(1-x^2-y^2+x^2y^2)` is

A

`2sin^(-1)y=xsqrt(1-x^2)+sin^(-1)x+c`

B

`cos^(-1)y=xcos^(-1)x+c`

C

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

D

`2sin^(-1)y=xsqrt(1-y^2)+c`

Verified by Experts

The correct Answer is:

A

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