Suppose the swinging pendulum described in the lead example of this chapter is 2 ft long and that g = 32.17 ft/s2. With h = 0.1 s, compare the angle θ obtained for the following two initial-value problems at t = 0, 1, and 2 s.
a. d2θ/dt2 + g/L sin θ = 0, θ(0) = π/6, θ '(0) = 0,
b. d2θ/dt2 + g/L θ = 0, θ(0) = π/6 , θ' (0) = 0,