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Differential Equations

WB JEE 2010

SUBJECTIVE+2 / -02010

If \({{dy} \over {dx}} + \sqrt {{{1 - {y^2}} \over {1 - {x^2}}}} = 0\), prove that \(x\sqrt {1 - {y^2}} + y\sqrt {1 - {x^2}} = A\), where A is a constant.

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