Example 6.  Use Mathematica to find the analytic solution and graph for the I.V.P.  .  

Solution 6.

Dig out the formula for the solution out of the data structure of  solset and put it in  f[t].
Plot the analytic solution at the same sample points that were used for the numerical approximations.

Just for fun, plot the Heun solution and the analytic solution. Notice that there is a difference.

(c) John H. Mathews 2004