10

11. Solve the problem of the cooling of a homogeneous rod thermally insulated along the surface, if its initial temperature Mm, 0) = @(x), and a heat exchange occurs at the ends with a medium of zero temperature. Examine the special case 99(3) = u\". 12. Solve problem 11 assuming that the temperature of the surround- ing medium equals U\". 13. Solve problem 11 assuming that a heat exchange occurs at the surface with a medium whose temperature: (a) equals zero, (b) is constant and equal to up