Two problems...

P1.Logistic differential equation:

dx/dt = 5x - 0.1(x^2)

a)Describe dynamics as t goes to infinity?

b)Write the finite difference approximation to the equation used in the Euler method?

c)For what step size values does the diff. approximation approach a fixed point as n goes to infinity? What is the fixed point?

d)For what step size values does the diff. approximation exhibit oscillations as n goes to infinity?

tyvm