2y)e2x , y(0) = 2 b) Solve (x2 + 1)y = 3xy + x, y(0) = 0. c) The time rate of change of a population P is proportional to the cube root of P.

2y)e2x , y(0) = 2 b) Solve (x2 + 1)y = 3xy + x, y(0) = 0. c) The time rate of change of a population P is proportional to the cube root of P. At time t=0, the population is 1000 and the rate of increase is 100 at that time. What is the population at time t=10? Problem 3. a) Let dx = 5x + 2x3 . Find the equilibrium solutions. Which ones are stable?