The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per

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The suspension bridge cable shown in the accompanying figure supports a uniform load of w pounds per horizontal foot. It can be shown that if H is the horizontal tension of the cable at the origin, then the curve of the cable satisfies the equationimage


Show that the cable hangs in a parabola by solving this differential equation subject to the initial condition that y = 0 when x = 0.image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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