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The solution of the differential equatio...

The solution of the differential equation `y^(2)dx+(x^(2)-xy + y^(2))dy = 0` is

A

`tan^(-1)((x)/(y))+lny+C=0`

B

`2tan^(-1)((x)/(y))+lnx+C=0`

C

`ln(y+sqrt(x^(2)+y^(2)))+lny+C=0`

D

`ln(x+sqrt(x^(2)+y^(2)))+C=0`

Text Solution

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The correct Answer is:
A
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