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

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

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

Which of the following is a homogeneous differential equation? (A) (4x+6y+5)dy-(3y+2x+4)dx= (B) (xy)dx-(x^(3)+y^(3))dy=0 (C) quad y^(2)dx+(x^(2)-xy-y^(2))dy=0

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

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

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

y^2dx+(x^2-xy+y^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