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

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

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

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

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

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

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if y=x^(2)+(1)/(x^(2)+(1)/(x^(2)+............)) then prove that (dy)/(dx)=(2xy^(2))/(1+y^(2))

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