many of the following problems, it will be
Chapter 3, Problem 4E(choose chapter or problem)
many of the following problems, it will be essential to have a calculator or computer available. You may use a software package† or write a program for solving initial value problems using the improved Euler’s method algorithms on pages 127 and 128. (Remember, all trigonometric calculations are done in radians.) In Example 1 the improved Euler’s method approximation to e with step size h was shown to be First prove that the error approaches zero as h 0. Then use L’Hôpital’s rule to show that Compare this constant with the entries in the last column of Table 3.5.
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