The solution of the equation (dy)/(dx)=(...

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

A

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

B

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

C

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

D

(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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