  We calculate renormalization group flow equations for the linear sigma-model
in large N_c approximation. The flow equations decouple and can be solved
analytically. The solution is equal to a self consistent solution of the NJL
model in the same approximation, which shows that flow equations are a
promising method to extend the calculation to higher order in 1/N_c. Including
explicit chiral symmetry breaking, the large N_c approximation describes
physics reasonably well. We further compare the analytic solution to the
usually used polynomial truncation and find consistency.
