Keyword: «differential equation»

Some generalization of classical model of market balance (Valras's models) are made. Nonlinearity of laws of the demand and supply, dependence of these laws on change in price speed are considered. Specific examples of application of models are reviewed.

This article proposes a version of the theoretical material on the topic “Linear differential equations with constant coefficients and the right-hand side of a special form” in a short form. The tasks on this topic are considered. Particular attention is paid to the analysis of the most common mistakes of students in solving the tasks. Various ways of material presentation of are considered.

In this article, we propose a version of the topic "First-order differential equations" theoretical material presentation. The tasks on this topic are considered. The article deals with the frequently occurring errors of students. Particular attention is paid to building algorithms for solving first-order differential equations. Four basic types of equations are analyzed in detail in this paper: equations with separating variables, homogeneous, linear and Bernoulli's equations.

In this article I will give a general overview of differential equations with two variables, the theorems given to it, and various examples of lemmas based on the equation. I will focus on hyperbolic, parabolic, and elliptic types of solutions of differential equations. Canonical types of equations with constant coefficients and creation (reduction) of the general problem were mentioned, and the conclusion was drawn by connecting them with examples.