Euler-Lagrange Equation for a Stationary Action

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Homework Statement



If L(y, y', x) = y^{2} + y'^{2} then find the appropriate Euler Lagrange Equation. I have absolutely no idea how to solve this. I used the differential form of the Euler Lagrange equations for a stationary action but the answer i got was nothing like the answer in the book so could anyone show me how to find the equation using the differential form?
 
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This is perfectly straightforward. Can you show us what you got and what the books answer is?
 
Dick said:
This is perfectly straightforward. Can you show us what you got and what the books answer is?

Never mind I got it I keep forgetting the dynamical variables are actually functions and I keep treating them like variables in the equation. Stupid mistakes on my part. Sorry.
 
Last edited:

Thread 'Finding the nth roots of a complex number'

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