  Naz and Chaudhry [3] established multiple closed-form solutions for the basic
Lucas-Uzawa model. According to Boucekkine and Ruiz-Tamarit [1] and Chilarescu
[2] unique closed-form solutions exist for the basic Lucas-Uzawa model. We
equate expressions for variables h(t) and u(t). We provide here condition for
the unique closed-form solution and proposed an open question for evaluation of
integral in closed-form. A similar analysis is carried out for the Lucas-Uzawa
model with logarithmic utility preferences.
