Include figures with caption for problem 2, 7, 8, and 10

latex/problems/problem8.tex

@@ -1,3 +1,27 @@
 \section*{Problem 8}
 
 %link to relvant files and show plots
+\subsection*{a)}
+Increasing number of steps result in a decrease of absolute error.
+\begin{figure}[H]
+    \centering 
+    \includegraphics[width=0.8\linewidth]{images/problem8_a.pdf}
+    \caption{Absolute error for different step sizes $n_{steps}$.}
+\end{figure}
+
+\subsection*{b)}
+Increasing number of steps also result in a decrease of absolute error.
+\begin{figure}[H]
+    \centering 
+    \includegraphics[width=0.8\linewidth]{images/problem8_b.pdf}
+    \caption{Relative error for different step sizes $n_{steps}$.}
+\end{figure}
+
+\subsection*{c)}
+Increasing number of steps result in a decrease of maximum relative error, up to a certain number of steps. At $n_{steps} \approx 10^{5}$ the maximumrelative error increase. 
+This can be related to loss of numerical precicion when step size is small.
+\begin{figure}[H]
+    \centering 
+    \includegraphics[width=0.7\linewidth]{images/problem8_c.pdf}
+    \caption{Maximum relative error for each step sizes $n_{steps}$.}
+\end{figure}