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Differential equations have been used for ages for solving a lot of problems in engineering, so they are studied at any technical university. A textbook on the topic should be clear and short. Both the students and engineers do not need proofs but instructions with explanations and examples. The lecture notes have the main parts of theme "Differential equations". They are short; we tried to do them clear; proofs are omitted. There are lots of examples with detailed solutions. The book is both for full-time students and for self-study work. It includes the following differential equations: of 1st order; 2nd order, admitting reduction of order; linear homogeneous and nonhomogeneous; systems with constant coefficients. A person attentively studied the book will be able to solve differential equations. A person attentivly studied the book will be able to solve differential equations.