Linear Algebra Expert Q&A
Although the growth equation is simple, it is not easy to approximate numerically, particularly over intervals [0, a] for large a. Compare the accuracy of different numerical methods by solving the and evaluating the solution at t = 1. The exact value of y(1) is e, so all methods can be compared against this value. Try step sizes of 0.1, 0.5, and 1. Although a step size of 1 is enormous, you may be surprised at the accuracy of certain other methods even so- comment on why this might be so.