  In this paper we derive the closed-form solutions for the Lucas-Uzawa growth
model with the aid of the partial Hamiltonian approach and then compare our
results with those derived by the classical approach \cite{chil}. The partial
Hamiltonian approach provides two first integrals \cite{naz2016} in the case
where there are no parameter restrictions and these two first integrals are
utilized to construct three sets of closed form solutions for all the variables
in the model. First two first integrals are used to find two closed form
solutions, one of which is new to the literature. We then use only one of the
first integrals to derive a third solution that is the same as that found in
the previous literature. We also show that all three solutions converge to the
same long run balance growth path.
