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

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

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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

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

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

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.