2. ( (cycloid) given in class, we have assumed (x1, y) = (0,0). Finding the value of a for a given point (x2, y2) usually requires solution of a transcendental equation. Here are two cases where you can do it more simply: For (x2, y2) = (T, 2) and (2t, 0) find the value of a for the cycloid and find the corresponding minimum travel times. Brachistochrone Curve To obtain the expression of brachistochrone curve X=ale Sine yclond SX-Gl6 ya(coe) COSE

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. (
(cycloid) given in class, we have assumed (x1, y) = (0,0). Finding the value of a for a
given point (x2, y2) usually requires solution of a transcendental equation. Here are two
cases where you can do it more simply: For (x2, y2) = (T, 2) and (2t, 0) find the value
of a for the cycloid and find the corresponding minimum travel times.
Brachistochrone Curve To obtain the expression of brachistochrone curve
Transcribed Image Text:2. ( (cycloid) given in class, we have assumed (x1, y) = (0,0). Finding the value of a for a given point (x2, y2) usually requires solution of a transcendental equation. Here are two cases where you can do it more simply: For (x2, y2) = (T, 2) and (2t, 0) find the value of a for the cycloid and find the corresponding minimum travel times. Brachistochrone Curve To obtain the expression of brachistochrone curve
X=ale Sine yclond
SX-Gl6
ya(coe)
COSE
Transcribed Image Text:X=ale Sine yclond SX-Gl6 ya(coe) COSE
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