Need help with euler langrange equation.

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Discussion Overview

The discussion revolves around the Euler-Lagrange equation, specifically its application in a problem involving a given Lagrangian function. Participants are seeking assistance in deriving and solving the equation.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents the Euler-Lagrange equation and a specific Lagrangian function, seeking help with the solution process.
  • Another participant suggests starting with calculating derivatives, implying that this is a necessary step in the solution.
  • A participant expresses difficulty in obtaining the derivative ∂L/(∂C:), indicating a lack of clarity on how to proceed.
  • Another participant questions the reason for the difficulty, highlighting a potential misunderstanding or confusion in the derivation process.
  • One participant successfully computes ∂L/∂C as 43.007/C, but does not clarify how this relates to the original problem.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus, with participants expressing confusion and differing levels of understanding regarding the derivatives involved in the Euler-Lagrange equation.

songhaegyo
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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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You should probably start by calculating some derivatives
 


I can't get ∂L/(∂C:)
 


Why?
 


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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