Math, asked by rathnakarantkdy, 1 month ago

is cos(ax)cos(bx)cos(cz) an eigen function in Laplacian operator?

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Answered by vaishnavisri2006

Show that (cos ax)(cos bx)(cos cz) is an eigenfunction of the Laplacian operator bigtriangledown ^2 = partial^2 /partial x^2 + partial^2 /partial y^2 + partial^2 /partial z^2 . An eigenfunction psi _a =a psi _a , where a is a scalar called the 'eigenvalue'.

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