从一道硕士研究生入学试题谈微分方程通解与特解  

On the General Solution and Particular Solution of Differential Equation from a Problem of the National Entrance Examination for Postgraduate

作　　者：陈贤峰 朱佳俊 CHEN Xianfeng;ZHU Jiajun(School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China)

机构地区：[1]上海交通大学数学科学学院,上海200240

出　　处：《高等数学研究》2022年第3期1-3,37,共4页Studies in College Mathematics

基　　金：国家自然科学基金(12071284).

摘　　要：本文从2018年全国硕士研究生入学考试的第18题的答题情况,谈如何理解和应用一阶线性常微分方程的通解与特解,并推广了一个结论.This paper discusses how to understand and apply the general and particular solutions of first-order linear ordinary differential equations based on the answers of the 18th question of the 2018 National Entrance Examination for Postgraduates,and generalizes a conclusion.

关 键 词：一阶常微分方程 硕士研究生入学考试 通解与特解 齐次方程与非齐次方程 

分 类 号：O175[理学—数学]