英语翻译

题目

英语翻译
本文主要研究二阶常微分方程的解法及应用,分别讨论了常系数二阶微分方程及变系数二阶微分方程的不同求解方法,包括二阶常系数微分方程的特征根法,及特定形式的特定解法等.变系数常微分方程有降阶法及常数变易法等.而且二阶常微分方程在物理、力学和工程技术中有着广泛的应用 .

答案

This paper mainly studies the solution and application of second order ordinary differential equations, and the different solving methods of these equations with constant coefficient and variable coefficient are separately discussed, which include the characteristic roots method of the second order ordinary differential equation and the specific solving method for different specific forms of the equations. There are methods of depression of order and variation of constants for the variable ordinary differential equation etc., and the second order ordinary differential equation is extensively applied in the fields of physics, mechanics and engineering technology.
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