Question: Working in the Cylindrical co-ordinate system, (, , ), if a scalar function, , is a function of , and , that is, = (,

Working in the Cylindrical co-ordinate system, (, , ), if a scalar function, , is a function of , and , that is, = (, , ), solve the following:

(a) Determine by solving the following equation,

(* 3 )R = z

(b) If another scalar function, , depends only on , then solve Laplace's equation, 2 = 0

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