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The general solution of y^(2)dx+(x^(2)...

The general solution of
`y^(2)dx+(x^(2)-xy+y^(2))dy=0`, is

A

(a) `tan^(-1)(x/y)+log y=c `

B

(b) `2tan^(-1)(x/y)+log x =c `

C

(c) `log (y+sqrt(x^2+y^2))+log y =c `

D

(d) `log y =tan^(-1) (y/x)+c `

Text Solution

Verified by Experts

The correct Answer is:
D
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