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The solution of x^(2)dy-y^(2)dx+xy^(2)(x...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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