A first-order differential equation is a type of equation that involves a function and its first derivative, but no higher-order derivatives. It can be written in the general form \( \frac{dy}{dx}=f\left(x,y\right) \) , where f(x, y) is a function of both the independent variable x and the dependent variable y. This chapter demonstrates how to solve first-order differential equations.

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First-Order Differential Equations

  • Farzin Asadi

摘要

A first-order differential equation is a type of equation that involves a function and its first derivative, but no higher-order derivatives. It can be written in the general form \( \frac{dy}{dx}=f\left(x,y\right) \) , where f(x, y) is a function of both the independent variable x and the dependent variable y. This chapter demonstrates how to solve first-order differential equations.