In ultracentrifuges, the rate of displacement of the molecules of the studied polymer in the direction from the axis of rotation is expressed by the formula V = bω2t, where b is a constant; ω is the angular velocity of the centrifuge; x is the distance from the axis of rotation to the moving boundary of the settling polymer. Determine the equation of motion of the polymer boundary if at time t = 0 it was at a distance of 0.5 cm from the axis of rotation.

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