常微分方程不同解法比较

Several Solutions and Teaching of Ordinary Differential Equation

常微分方程在自然科学和工程技术中有着广泛的应用,对于理工科院校来说,微分方程在电气工程等专业的应用尤其广泛,因此,由实际问题列出微分方程后,其解法非常关键。常微分方程的求解方法种类很多,以同一例题为例,比较常微分方程的不同解法,对比其优缺点,找出学生易于理解的方法。

Ordinary differential equation is applied widely among natural science and engineering technology. For the science and engineering colleges, ordinary differential equation is widely used in electrical engineering and other majors. Therefore, the solution is vital after the differential equation led by the practical problems. The article shall take the same example to compare several solutions of ordinary differential equation, in order to get a easy method for students to understand by compare the merit and demerit of the three solutions.