In an earlier paper, it was suggested to divide heat conduction problems in anisotropic media into three classes for the systematic presentation of their analytical solutions. It is shown in this paper that a large number of the first-class problems governed by differential equations of hyperbolic, parabolic and elliptic types with boundary conditions of the first, second, third and fourth kinds can be transformed into those for isotropic media. Solutions of two illustrative problems are shown while those of more complicated problems will be reported in subsequent papers.

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