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Express: cot^-1 (y/((1-x^2-y^2)))=2tan^-...

Express: `cot^-1 (y/((1-x^2-y^2)))=2tan^-1 sqrt((3-4x^2)/(4x^2))- tan^-1 sqrt (3-4x^2)/x^2` as a rational integral equation in x and y.

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Verified by Experts

The correct Answer is:
`y^(2) = (x^(2) ( 9-8x^(2))^(2))/(27)`
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