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" 7."(dy)/(dx)=(x^(2)+y^(2)+1)/(2xy)...

" 7."(dy)/(dx)=(x^(2)+y^(2)+1)/(2xy)

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

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

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

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

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

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

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