Example 2.  Use Mathematica to find the analytic solution and graph for the I.V.P.  .  

Solution 2.

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 Runge-Kutta solution and the analytic solution. Notice that there is a difference.

(c) John H. Mathews 2004