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" *d) "y^(2)dx+(x^(2)-xy+y^(2))dy=0...

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

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

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

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

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

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

(3xy+y^(2))dx+(x^(2)+xy)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

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

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