Example 11.  Use Picard iteration to find and plot approximations for solution of the second order I.V.P.  

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Solution 11.

First define the function  , and   and the initial conditions        by typing:

Picard iteration for generating the first six approximations is started with the Mathematica command:

We can graph the analytic solution and the Picard iterations.

(c) John H. Mathews 2005