Solved: The heat conduction equation in two space dimensions may be expressed in terms

Chapter 10, Problem 23

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The heat conduction equation in two space dimensions may be expressed in terms of polar coordinates as 2 [urr + (1/r)ur + (1/r2 )u ] = ut. Assuming that u(r, , t) = R(r)()T(t), find ordinary differential equations that are satisfied by R(r), (), and T(t).

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