Abstract
This chapter provides an overview of differential equations. Equations involving, besides one or several variables, functions of these variables and their derivatives are called differential equations. Ordinary differential equations are conditional equations for a function of an independent variable that contain at least one derivative of the unknown function with respect to this variable. Partial differential equations are conditional equations for a function of several independent variables that contain at least one derivative of the unknown function with respect to one of the independent variables. The solution (integral) of a differential equation is defined as the set of all functions of which derivatives identically satisfy the differential equation. The order of the highest derivative of the function to be found occurring in a differential equation is its order (nth derivative ⇒ differential equation of the nth order). The chapter describes ordinary differential equations of the first order, the second order, and the third order.
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