Question: Higher-dimensional problems: The wave equation in R2 Derive the partial differential equation for n[t. x) [x E R3} describing the vibration of a {two-dimensional} drumhead,

Higher-dimensional problems: The wave equation in R2 Derive the partial differential equation for n[t. x) [x E R3} describing the vibration of a {two-dimensional} drumhead, assuming xed BCs on some domain 5!. Assume that the Lagrangian density of the drumhead can be written as 1 1 [t,x, \

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