Keyword: «fundamental solution of the operator»

This article proposes a method for presenting the topic “Solution of the Cauchy problem by method of incorporating initial conditions into instantaneous sources” in the course of mathematical physics equations. The Cauchy problem is considered in a generalized formulation, which allows us to get rid of cumbersome calculations that appear under nonzero initial conditions and distract from the essence of the problem. This article presents a method for solving the Cauchy problem, based on the use of a fundamental solution. The article is based on a wide experience in teaching mathematical physics equations and may be useful for students of instrument-making specialties, as well as for teachers of relevant courses.