Show that (cos ax)(cos bx)(cos cz) is an eigenfunction of the Laplacian operator ∇²= ζ²/ζx² + ζ²/ζy²+ ζ²/ζz². An eigenfunction Ψa= aΨa, where a is a scalar called the 'eigenvalue'. What is the eigen value for this problem?

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Answer:

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