微积分中若干问题的研究(Ⅲ)  

Study on the Many Questions of the Calculus(Ⅲ)

作　　者：侯双根[1] 

机构地区：[1]安阳工学院,河南安阳455000

出　　处：《安阳工学院学报》2006年第1期65-70,共6页Journal of Anyang Institute of Technology

摘　　要：用常微分方程证明了五个函数的幂级数展开式;给出了带有初始条件的一阶线性常微分方程的求解公式,并应用它研究了一阶线性常微分方程解的一个性质;给出了一元函数取极值的新的充分条件。We use differential equation to prove expansion in power series of five functions ; We give a strict course of proving linear differential equation of first order which has starter condition and use it to learn property of a solution about linear differential equation of first order ; We not only give a strict process of proving probability integral but also some process of proving is new ; A new way of working out local maximum or local minimum of a variable function is given.

关 键 词：常微分方程 幂级数展开式 求解公式 解的性质 极大值或极小值 

分 类 号：O17[理学—数学]