A solid cylinder, 0 ≤ r ≤ b, is initially at zero temperature. For times t > 0, internal energy is generated in the solid at a rate of g(t) per unit volume (W/m3), whereas the boundary surface at r = b dissipates heat by convection into a medium at zero temperature. Obtain an expression for the temperature distribution T(r,t) in the cylinder for times t > 0.
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