Module for Series Solutions of a Differential Equation

Numerical Methods for O. D. E.  using Mathematica. (c) John H. Mathews, 2003

Background.

    Power series can be used to solve differential equations at an ordinary point.

Example 1.  Use series to solve the D. E.  

        [Graphics:Images/SeriesSolutionDEMod_gr_1.gif].  

Solution 1.

Example 2.  Use series to solve the D. E.   

        [Graphics:Images/SeriesSolutionDEMod_gr_89.gif].  

Solution 2.

Example 3.  Use series to solve Bessel's D. E.   

        [Graphics:Images/SeriesSolutionDEMod_gr_200.gif].  

Solution 3.

Example 4.  Use series to solve the D. E.  

    [Graphics:Images/SeriesSolutionDEMod_gr_264.gif].  

Solution 4.

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Converted by Mathematica      January 28, 2003