In Figure 11.3, the height, y, of the hanging cable above the horizontal line satisfies
Chapter 11, Problem 23(choose chapter or problem)
In Figure 11.3, the height, y, of the hanging cable above the horizontal line satisfies d2y dx2 = k 1 + dy dx2 . (a) Show that y = ex + ex 2 satisfies this differential equation if k = 1. (b) For general k, one solution to this differential equation is of the form y = eAx + eAx 2A . Substitute this expression for y into the differential equation to find A in terms of k.
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