The solution of \frac{dy}{dx}=\sqrt{1-x^2-y^2+x^2y^2} is Where c is an arbitrary constant [NDA II 2015]

Correct Answer is : 2sin−1y=x√1−x2+sin−1x+c

2\sin^{-1}y=\sqrt{1-x^2}+\sin^{-1}x+c

2\sin^{-1}y=x\sqrt{1-x^2}+\sin^{-1}x+c

2\sin^{-1}y=x\sqrt{1-x^2}+\cos^{-1}x+c

NDA Math Differential Equation

Question : 52 of 70

Marks: +1, -0

The solution of

=√1−x2−y2+x2y2 is
Where c is an arbitrary constant

[NDA II 2015]

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