I would like to know how to solve this question to compare with my answer

Consider a Solow economy with the following production function F(K, N) = zK1/3 N2/3 and parameters d = 0.05, s = 0.2, No = 100 and z = 1.0. Suppose K = 300 in period 0 and the unit period is one year. In contrast to the standard Solow model, we assume that the population growth rate n is no longer exogenous but rather endogenous and determined by (1 + n) = N'/N = g(C/N) = (C/N)3 as it is the case in the Malthusian model. 1. Determine the dynamics for the per worker capital (k). [05 marks] 2. Determine the per capita quantities k, y, c and the aggregate quantities K, C and Y of the capital stock, consumption and output for years 1, 2 ,3, 4 and 5. Summarize your results using a table. [05 marks] 3. Find k* the steady state per-capita capital stock, consumption per capita (c*) and output per capita (y*). [07 marks]