Adams-Moulton

1.

Solve the same problem using Adams-Moulton Three-Step Implicit Method as a corrector. In other words, do not solve the implicit equation at each step. Rather, use Adams-Bashforth Four-Step Explicit Method to generate an estimated solution at each step and then calculate a ``corrected'' estimate by plugging the ``prediction'' into the implicit equation.

2.

Compare the errors with the other four methods. For a given number of steps, how many times does each method evaluate the function f'(t, y)?