Abstract
This chapter discusses the classification and solutions of first-order differential equations. A differentiable function y = y(x) is said to be a solution of the differential equation if F(x, y(x), y'(x)) ≡ 0; x and y are called the independent and the dependent variables, correspondingly. A family of functions {f } is called a complete solution of the equation in a certain interval if it contains all the solutions of the equation defined in the interval. The chapter discusses the solution of elementary first-order differential equations. It discusses a variety of differential equations that can be solved by the elementary methods and for which the general solution is obtained by integration.
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