Solved: Tractrix A motorboat starts at the origin and moves in the direction of the

Chapter 1, Problem 28

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Tractrix A motorboat starts at the origin and moves in the direction of the positive x-axis, pulling a waterskier along a curve C called a tractrix. See FIGURE 1.3.21. The waterskier, initially located on the y-axis at the point (0, s), is pulled by keeping a rope of constant length s, which is kept taut throughout the motion. At time t > 0 the waterskier is at the point P(x, y). Find the differential equation of the path of motion C.

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