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❶As the name specifies, they involve equations having a differential of functions.

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Problem set 9 PDF. Don't show me this again. This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW. Download files for later.

Send to friends and colleagues. The notation can be changed to clarify the method. This algorithm is sometimes called the modified Euler method. There is less error than with the Euler method using the same step size. The script file is. The results are shown in Figure 8.

This error can be decreased by decreasing the step size. The number of terms kept in the series determines its accuracy. Thus one of the parameters can be chosen independently. Comparison with the Taylor series yields eight equations for the 10 parameters. Thus two parameters can be chosen in light of other considerations.

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