Example 1.  Solve the I.V.P.  .  

Solution  1.

Compute the Taylor series solution based on 25 subintervals and plot the results.

First, enter the function    and create explicit formulas for    for  ,  respectively, which will involve  .  

Second, replace    with     and construct the implicit formulas    for  , respectively.  

(c) John H. Mathews 2004