Question: Show that if p(x, y) is any polynomial, then L = p(x, y) defines a linear, constant coefficient partial differential operator. For example, if p(x,

Show that if p(x, y) is any polynomial, then L = p(ˆ‚x, ˆ‚y) defines a linear, constant coefficient partial differential operator. For example, if p(x, y) = x2 + y2, then L = ˆ‚x2 + ˆ‚y2 is the Laplacian operator

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