- #1
JanEnClaesen
- 59
- 4
In the Euler-Lagrange equations y and y' are independent variables, while for a given curve y(x), they are related by the differential equation y=f(x)y'. If you draw arbitrary curves on the y,y'-plane, it is immediately clear that most curves do not correspond to a curve y(x), is it fruitful to consider this domain further?
Why are y and y' independent variables? It looks like the y,y'-domain has a different name, perhaps the frequency domain?
Why are y and y' independent variables? It looks like the y,y'-domain has a different name, perhaps the frequency domain?