Drum Eigenmodes
Laplacian eigenfunctions on a circular membrane — the modes a drum can vibrate in
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Circular drum: ∇²ψ + k²ψ = 0 with ψ=0 on boundary. Solutions: ψ_{mn}(r,θ,t) = J_m(j_{mn}r/R)·cos(mθ)·cos(ω_{mn}t)