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It can be shown that the curve y(x) of an inextensible flexible homogenouse cable hanging between two fixed points is obtained by solving y" = k √1 + y 2, where the constant k depends on the weight. This curve is called a catenary (from Latin catena = the chain). Find the graph y(x), assuming k = 1 and those fixed points are (– 1, 0) and (1, 0) in a vertical xy-plane. |
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