Given the Lagrangian L of the damped oscillation 1 L =ebt/mmx2 1 Lebt/mkx² Show that the Lagrange's equation of motion is given by š + 2ßx + wžx = 0 where 2B = b/m.

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Given the Lagrangian L of the damped oscillation
1
L ==ebt/mmx? - ebt/mkx²
1
Show that the Lagrange's equation of motion is given by * + 2ßx + w¿x = 0
where 2ß = b/m.
%3D
Transcribed Image Text:Given the Lagrangian L of the damped oscillation 1 L ==ebt/mmx? - ebt/mkx² 1 Show that the Lagrange's equation of motion is given by * + 2ßx + w¿x = 0 where 2ß = b/m. %3D
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