Find equations of motion (eom) of a particle moving in a D-dimensional flat space with the following Lagrangian
L = (1/2)mv2i - k/ra,
r = root(x2i), m,k,a are constants
The Attempt at a Solution
The equations of motion are given by d/dt(∂L/∂vi) - ∂L/∂xi = 0
So, when I work all this out I get
ma = ka/xia+1
I have a feeling this isn;t correct though.
Am I doing the partials wrong?