Problem 3. (25 points) Consider the Solow growth model introduced in class. Suppose the production function is F(K, L) = K1/4L3/4, the rate of labor force growth is n = 0.02, the saving rate is 3 = 0.2, and the rate of capital depreciation is (5 = 0.18. Present the differential equation that the capitallaborration Mt) satises. Find the general solution for k(t)