A solid cylinder of length L and radius b has the following boundary conditions: The cylinder end at z = 0 is maintained

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A solid cylinder of length L and radius b has the following
boundary conditions: The cylinder end at z = 0 is maintained at
temperature T1, while the cylinder end at z = L is perfectly
insulated. The cylinder surface at r = b dissipates heat by
convection into an environment at T with convection coefficient h.
Let the z-direction be homogeneous. Obtain an expression for the
steady-state temperature distribution T(r,z)