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

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

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

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

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

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