# The 1D Wave Equation on an Interval;

## Homogeneous Boundary Conditions

 Homogeneous Dirichlet Boundary Conditions $cos\left(t\right) sin\left(x\right)$ $cos\left(2t\right) sin\left(2x\right)$ $cos\left(3 t\right) sin\left(3x\right)$ $cos\left(4 t\right) sin\left(4x\right)$ Homogeneous Neumann Boundary Conditions $1$ $cos\left( t\right) cos\left(x\right)$ $cos\left(2 t\right) cos\left(2x\right)$ $cos\left(3 t\right) cos\left(3x\right)$

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