Solve the differential equation dy/dx = - y/(a 2 - y 2 ) of the tractrix. See
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dy/dx = - y/(a2 - y2)
of the tractrix. See Problem 28 in Exercises 1.3. Assume that the initial point on the y-axis in (0, 10) and that the length of the rope is x = 10 ft.
Data from problem 28
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(0, a) P(x, y) waterskier х х motorboat
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Separating variables we have a 2 y 2 y dy dx Substituting y s sin ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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