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[" 4."x^(2)(dy)/(dx)=2xy+y^(2)],[qquad [...

[" 4."x^(2)(dy)/(dx)=2xy+y^(2)],[qquad [AICBSE2015,08,03]]

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

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

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

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

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

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