(a) Repeat Example 30.1, but for a time step of t = 0.05 s. Compute results to...

(a) Repeat Example 30.1, but for a time step of Δt = 0.05 s. Compute results to t = 0.2.
(b) In addition, perform the same computation with the Heun method (without iteration of the corrector) with a much smaller step size of Δt = 0.001 s. Assuming that the results of (b) are a valid approximation of the true solution, determine percent relative errors for the results obtained in Example 30.1 as well as for part (a).