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

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

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

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

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

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

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

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

The first integral of (dy)/(dx)((d^(2)y)/(dx^(2)))-x^(2)y((dy)/(dx))=xy^(2) will be