Hanging cable. It can be shown that the curve y(x) of an inextensible flexible homogeneous cable hanging between two fixed points is obtained by solving y" = kV1 + y'2, where the constant k depends on the weight. This curve is called catenary (from Latin catena = the chain). Find and graph y(x), assuming that k = 1 and those fixed points are (-1, 0) and (1, 0) in a vertical xy-plane.

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