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Q.

The solution of the differential equation xx2+y2dy=yx2+y2−1dx is

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a

y=xcot(c-x)

b

9cos-1(y/x)=c-x

c

y=xtan(c-x)

d

y2x2=xtan(c-x)

answer is C.

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Detailed Solution

xdy−ydxx2+y2=−dx⇒∫dTan−1⁡(y/x)=−∫dx⇒Tan−1⁡(y/x)=-x+c⇒y=xtan(c−x)
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The solution of the differential equation xx2+y2dy=yx2+y2−1dx is