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\@writefile{toc}{\contentsline {section}{\numberline {2}The logistic equation}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}{\it  {dfield9.m}} can display ODE direction fields}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}{\it  {logistic\_deriv.m}} evaluates $dydt$, the logistic ODE right hand side}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Pseudocode for the logistic ODE derivative.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}{\it  {logistic\_solution.m}} evaluates the exact solution}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Pseudocode for logistic solution.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}{\it  {rms.m}} reports the approximation error }{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Pseudocode for the RMS function.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {7}{\it  {logistic\_euler.m}} solves the equation and returns the RMS error}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}logistic\_euler.m computes the logistic Euler estimate and exact solution.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}{\it  {logistic\_euler\_plot.m}} compares exact and approximate solutions }{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}logistic\_euler\_plot.m makes a plot.}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {9}{\it  {logistic\_errors.m}} varies the number of steps}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}logistic\_errors.m tabulates errors for increasing n.}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Homework \#2}{7}}