Merge pull request #21 from FYS3150-G2-2023/coryab/implement-problem-5

Coryab/implement problem 5

latex/assignment_1.tex

@@ -80,7 +80,7 @@
 \begin{document}
 
 \title{Project 1}      % self-explanatory
-\author{Cory Balaton \& Janita Willumsen}          % self-explanatory
+\author{Cory Alexander Balaton \& Janita Ovidie Sandtrøen Willumsen}          % self-explanatory
 \date{\today}                             % self-explanatory
 \noaffiliation                            % ignore this, but keep it.
 
@@ -107,4 +107,6 @@
 
 \input{problems/problem9}
 
+\input{problems/problem10}
+
 \end{document}

latex/problems/problem1.tex

@@ -40,5 +40,5 @@ Using the values that we found for $c_1$ and $c_2$, we get
 
 \begin{align*}
     u(x) &= -e^{-10x} + (e^{-10} - 1) x + 1 \\
-         &= 1 - (1 - e^{-10}) - e^{-10x}
+         &= 1 - (1 - e^{-10})x - e^{-10x}
 \end{align*}

latex/problems/problem5.tex

@@ -1,6 +1,6 @@
 
 \section*{Problem 5}
 
-\subsection*{a)}
+\subsection*{a \& b)}
 
-\subsection*{b)}
+$n = m - 2$ since when solving for $\vec{v}$, we are finding the solutions for all the points that are in between the boundaries and not the boundaries themselves. $\vec{v}^*$ on the other hand includes the boundary points.