Below is the command I used to graph the solution they found to the example in problem 2.2.27.  Se if you can use this to help you plot the solutions you find to the problems. By the way, be patient it takes a little time to compute....Also, notice that you need to specify (and probably play with) the intervals.  This solution blows up pretty soon after the IC.  When I first plotted it I chose the interval {t,1,3} and the graph made it look like it blew up at the IC (whichI knew was wrong) so I narrowed the t interval.  Enjoy.

Plot[1/(1-Integrate[Exp[x^2],{x,2,t}]),{t,1.9,2.1}]