Question: Verify that the function z(x, y) = ln(e* +e) is a solution equations z z + x 1 and 82z 82 z 2 of

Verify that the function z(x, y) = ln(e* +e") is a solution

Verify that the function z(x, y) = ln(e* +e") is a solution equations z z + x 1 and 82z 82 z 2 of the partial differential 22 z ???? Show that the functions e3x+4y cos 5z satisfies the three-dimensional Laplace's equation 82f a2f 82 f + + - ????2 z2 2 0 fi(x, y, z) = x+3xy +2y - 3x2 + 4xyz and f2(x,y) - = 0

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