By writing Laplaces equation in cylindrical coordinates r,
Chapter 10, Problem 15(choose chapter or problem)
By writing Laplaces equation in cylindrical coordinates r, , and z and then assuming thatthe solution is axially symmetric (no dependence on ), we obtain the equationurr + (1/r)ur + uzz = 0.Assuming that u(r, z) = R(r)Z(z), show that R and Z satisfy the equationsrR+ R+ 2rR = 0, Z 2Z = 0.The equation for R is Bessels equation of order zero with independent variable r
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