Problem:
Write a differential equation of the family of curves, in which the segment of any tangent, closed between the coordinate axes, is divided by the tangent point \( M(x, y) \) in relation to \( |A M|:|M B|=2: 1 \), where \( A \) is the point of intersection of the tangent with the \( O y \) axis, \( B \) is the point of intersection with the \( O x \) axis.
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