The present book is a collection on the problems on the equations of mathematical physics studied in colleges with comprehensive mathematical programme. It consists of two parts, the first of which contains the conditions of the problems and the second the answers to the problems and detailed explanations of the solutions of the most difficult problems. The material of the first part is divided into five chapters in which the problems are grouped according to the type of partial differential equations. Each chapter begins with the necessary prerequisites taken from the corresponding division of the theory of the equations of mathematical physics which facilitates the understanding of the subject.