\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}The logistic equation}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Direction fields with dfield9}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}An exact solution}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}Write derivative and solution functions}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Logistic derivative code.}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Logistic solution code.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {6}Use your (forward) Euler ODE solver}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}logistic\_euler.m computes the logistic Euler estimate and exact solution.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}Plot your solution}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Plot computed and exact solutions.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {8}Errors depend on stepsize}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}logistic\_errors.m tabulates errors for increasing n.}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}logistic\_euler2.m gets n and returns e.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {9}Introduction to \LaTeX }{5}} \@writefile{toc}{\contentsline {section}{\numberline {10}Report}{6}}