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## Homework Statement

Find equations of motion (eom) of a particle moving in a D-dimensional flat space with the following Lagrangian

L = (1/2)mv

^{2i}- k/r

^{a},

r = root(x

^{2}

_{i}), m,k,a are constants

## Homework Equations

## The Attempt at a Solution

The equations of motion are given by d/dt(∂L/∂v

_{i}) - ∂L/∂x

_{i}= 0

So, when I work all this out I get

ma = ka/x

_{i}

^{a+1}

I have a feeling this isn;t correct though.

Am I doing the partials wrong?