(More in the next problem set.) Verify by substitution that the given functions fonn a
Chapter 2, Problem 2.1.6(choose chapter or problem)
(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 \(y^{\prime \prime}=k \sqrt{1+y^{\prime 2}}\), where the constant k depends on the weight. This curve is called a catenary (from Latin catena= the chain). Find and graph y(x). assuming k = 1 and those fixed points are (-1, 0) and (1,0) in a vertical xy-plane.
Text Transcription:
y’’=k sqrt 1+y’^2
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