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Need urgent help with euler langrange equation.

 
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Apr8-12, 01:41 AM   #1
 

Need urgent help with euler langrange equation.


So i've identified the euler langrange equation in my problem as

d/dt (∂L/(∂x: ̇))-∂L/∂x=0

translates to d/dS (∂L/(∂C: ))-∂L/∂C=0

if L is L=43.007 ln(C)-0.0042S^2-3.4339S+1059.37

whereby ∂C:= ∂C/∂S.

How do i solve this?? I am stuck.
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Apr8-12, 02:15 AM   #2
 
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You should probably start by calculating some derivatives
Apr8-12, 02:16 AM   #3
 
I can't get ∂L/(∂C:)
Apr8-12, 02:27 AM   #4
 
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Need urgent help with euler langrange equation.


Why?
Apr8-12, 02:30 AM   #5
 
what do you mean why?

I have no clue how to get ∂L/(∂C:).

I do however get ∂L/∂C as 43.007/C
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