y(xy+1)dx+x(1+xy+x^(2)y^(2))dy=0...

`y(xy+1)dx+x(1+xy+x^(2)y^(2))dy=0`

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Solve: y(2xy+1)dx+x(1+2xy+x^2y^2)dy=0

The solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0, is given by

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

y^(2)dx+(x^(2)+xy+y^(2))dy=0

x^(2)dy+(x^(2)-xy+y^(2))dx=0

The solution of the differential equation y(xy + 2x^2y^2) dx + x(xy-x^2y^2)dy = 0 is given by

y^2dx+(x^2-xy+y^2)dy=0

(3xy+y^(2))dx+(x^(2)+xy)dy=0

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