1. The problem statement, all variables and given/known data Consider the motion of charged particles, in one dimension only, in the presence of an electric potential V ( x). Show, by direct substitution, that a function of the form f=f(1/mv^2 + qV) is a solution of the Boltzmann equation under steady-state conditions. 2. Relevant equations ∂f/∂t + v⋅∇f + a[∇][/v]f = 0 a= dv/dt v=dr/dt 3. The attempt at a solution I've been having problems with mathematical demonstrations due to lack of practice in the past 6 years. Any steering into the correct direction would be greatly appreciated.