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For the differential equation y1−x2 dy+x1−y2 dx=0y\sqrt{1-x^2} \, dy + x\sqrt{1-y^2} \, dx = 0y1−x2dy+x1−y2dx=0, assuming the constant of integration to be CCC, the general solution is
(A) 11−x2+11−y2=C\frac{1}{\sqrt{1-x^2}} +\frac{1}{\sqrt{1-y^2}} = C1−x21+1−y21=C
(B) y1−x2+x1−y2=Cy\sqrt{1-x^2} + x\sqrt{1-y^2} = Cy1−x2+x1−y2=C
(C) 1−x+1−y=C\sqrt{1-x} + \sqrt{1-y} = C1−x+1−y=C
(D) 1−x2+1−y2=C\sqrt{1-x^2} + \sqrt{1-y^2} = C1−x2+1−y2=C
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