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(dy)/(dx) = (2xy)/(x^(2)-1-2y)...

`(dy)/(dx) = (2xy)/(x^(2)-1-2y)`

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Solve (dy)/(dx) =(y^(2)-2xy)/(x^(2)-xy)

(dy)/(dx)=(x^2y+y)/(xy^2+x)

(a) dy/dx = (xy)/(x^2+y^2)

Solve (dy)/(dx)=(x^(2)+xy)/(x^(2)+y^(2))

(dy)/(dx)=(x^(2)+xy)/(x^(2)+y^(2))

(dy)/(dx)=(x^(2)+xy)/(x^(2)+y^(2))

(dy)/(dx) = (x^(2)+y^(2))/(xy)

(dy)/(dx)=(y^(2)-x)/(xy+y)