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

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

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

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

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

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

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

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

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

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

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

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