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The solution of the differential equatio...

The solution of the differential equation `(y+xsqrt(xy)(x+y))dx+(ysqrtxy(x+y)-x)dy=0`

A

`(x^(2)+y^(2))/(2)+2tan^(-1)sqrt((x)/(2y))=C`

B

`(x^(2)+y^(2))/(2)+2tan^(-1)sqrt((x)/(y))=C`

C

`(x^(2)+y^(2))/sqrt(2)+2tan^(-1)sqrt((x)/(y))=C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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