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The solution of (dy)/(dx) =( x+y)/(x...

The solution of ` (dy)/(dx) =( x+y)/(x-y)` is

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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