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xy=x^(2)+y^(2)...

xy=x^(2)+y^(2)

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The solution of (x^(2)+xy)dy=(x^(2)+y^(2))dx is

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

The solution of (x^(2)+xy)dy=(x^(2)+y^(2))dx is

Using horizontal method : Add x^(2)+y^(2)- 2xy , -2x^(2)-y^(2)-2xy and 3x^(2) +y^(2) +xy

solve: -2 (x^(2) - y^(2) + xy) - 3 (x^(2) + y^(2) - xy)

Simplify : (x^(2) - y^(2) + 2xy + 1) - (x^(2) + y^(2) + 4xy - 5)