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(dy)/(dx)=(y-x)/(x+y)...

`(dy)/(dx)=(y-x)/(x+y)`

Text Solution

Verified by Experts

The correct Answer is:
`log(x^(2)+y^(2))+2tan^(-1)((y)/(x))=c`
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Knowledge Check

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

    A
    `x^(2)-y^(2)+2xy=c`
    B
    `x^(2)-y^(2)+xy=c`
    C
    `x^(2)-y^(2)-2xy=c`
    D
    `x^(2)-y^(2)-xy=c`

    • Similar Questions

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    (dy)/(dx)=(y(2y-x))/(x(2y+x))=0 , given y=1, when x=1

    The solution of the differential euation (dy)/(dx)=(x-y)/(x+y) is C is integration constant.

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