The equation of the curve passing throug...

The equation of the curve passing through the origin and satisfying the differential equation `((dy)/(dx))^(2)=(x-y)^(2)`, is

A

`e^(2x) (1-x+y)=1+x-y`

B

`e^(2x) (1 +x -y)=1-x+y`

C

`e^(2x)(1-x+y)=1+x+y`

D

`e^2x (1+x+y)=1-x-x +y`

Verified by Experts

The correct Answer is:

A

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