Need help with euler langrange equation.

[songhaegyo]

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.

 

[Office_Shredder]

You should probably start by calculating some derivatives

 

[songhaegyo]

I can't get ∂L/(∂C:)

 

[Office_Shredder]

Why?

 

[songhaegyo]

what do you mean why?

I have no clue how to get ∂L/(∂C:).

I do however get ∂L/∂C as 43.007/C