Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 456
g dx + C a ± V a- — . + C.(2) The arbitrary constant C Bhowa thaithere is an infinite number of curves which satisfy the conditions of the problem.Assuming a fixed value for C, we seefrom (1) and (2) that the curve is sym-metrical with respect to OY, that x- cannot be greater than a2, that — = 0… … 440 DIFFERENTIAL EQUATIONS Ex. 3. A uniform cable is suspended from two fixed points. Requiredthe curve in which it hangs. Let A (fig. 241) be the lowest point, and P any point on the requiredcurve, and let PT be the tangent at P. Since the cable is in equilibrium,we may consider the portion AP as…
Geometry, Analytic · Calculus
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