$$ \newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\Aex}{{A_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\Oof}[1]{\mathcal{O}(#1)} $$

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Plotting the solution

Basic syntax: 

from matplotlib.pyplot import *

plot(t, u)
show()

Can (and should!) add labels on axes, title, legends.

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