Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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S[x] == - √²
x + x
dt
1+x+x
Show that the Euler-Lagrange equation for S[x] is given by
2x + 3x + x = −1
where x = d²x/dt².
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Transcribed Image Text:S[x] == - √² x + x dt 1+x+x Show that the Euler-Lagrange equation for S[x] is given by 2x + 3x + x = −1 where x = d²x/dt².
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