Production function Y=zK^1/2(HN)^1/2, where H is the human capital stock. Solve the model starting from the law of motion for K and find the equation that describes the equilibrium output per efficiency unit of labor ( = Y/HN). Notice that the growth rate of human capital is given by H'/H - 1 = f.

let n be the population growth rate, d the depreciation rate, s is the saving rate, z is the TFP