摘要
针对部分学生学习常微分方程难的特点,以伯努利方程为例,分别给出了伯努利方程在变量分离法、常数变易法、积分因子法、变量替换法下的通解公式和求解条件,并且通过实例验证了上述解法的实用性和高效性.
For the difficulty of some students to learn the characteristics of the ordinary differential equation,Bernoulli equation are given general solution formula and solving condition respectively in the variable separation method,constant variation method,integrating factor method and the method of variable substitution,the practicability and efficiency of this method are proved though examples.
出处
《四川文理学院学报》
2015年第2期11-13,共3页
Sichuan University of Arts and Science Journal
关键词
伯努利方程
常数变易法
积分因子法
变量替换法
Bernoulli Equation
constant transformation method
integral factor method
variable substitution method
