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

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

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

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

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

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

Solve (dy)/(dx)=(x^(2)+3y^(2))/(2xy)

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

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

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

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