Abstract
In this article, the question of finding the law of the change of the temperature field from time in a rectangular plate under different boundary conditions set on the walls of the plate is considered. At the same time, the task itself is non-stationary. In this paper, based on the Fourier method, a solution for the distribution of the temperature field in a plate of infinite length is obtained. The solution itself is obtained in the form of a series containing trigonometric and exponential functions. Special cases were also considered. The reliability of the obtained result is confirmed by the fact that one of the special cases leads the problem to a problem with boundary conditions of the first kind, when the temperature of the surface is constant.
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