For the problems in this section, you may use Scipy's high-level interface to various ODE solvers \href{https://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.solve_ivp.html}{\texttt{solve\_ivp}}.
\subsubsection*{Problems:}
\begin{enumerate}
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@@ -91,7 +92,3 @@ where $\eta(t)$ is Gaussian noise with zero mean and unit variance. Plot $x(t)$
\item Using the \href{http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.hist}{\texttt{hist}} function, plot the probability distribution $P(x)$ of $x(t)$ at $t =10, 50, 100$.
\end{enumerate}
\subsection{Two-point boundary value problems: The shooting method}
Solve the TOV equations described in Sec.~\ref{sec:TOV} as a two-point boundary value problem using the Shooting method. Use the Newton-Raphson method for root finding. The boundary conditions are given in Eq.~(\ref{eq:tov_boundary}).