Mixed Dirichlet-Neumann modes on an interval (source code)

= Mixed Dirichlet-Neumann modes on an interval

The eigenfunctions satisfying $X(0)=0$ and $X'(L)=0$ are
$$
X_n(x)=\sin(k_nx),
\qquad
k_n=\frac{(n+1/2)\pi}{L},\quad n\geq0.
$$