吉首大学学报(自然科学版)
吉首大學學報(自然科學版)
길수대학학보(자연과학판)
Journal of Jishou University (Natural Science Edition)
2015年
5期
13-15
,共3页
邓雪%赵俊峰%张雄锋
鄧雪%趙俊峰%張雄鋒
산설%조준봉%장웅봉
通解%特解%线性微分方程%待定系数法
通解%特解%線性微分方程%待定繫數法
통해%특해%선성미분방정%대정계수법
general solution%special solution%linear differential equation%undetermined coefficient method
通过严谨的数学推导,利用待定系数法,对于一阶常系数非奇次线性微分方程 y′+ py = Q(x ),给出了 Q(x )的不同情况的特解的具体表达式,以及带有不同表达形式的特解的通解公式。
通過嚴謹的數學推導,利用待定繫數法,對于一階常繫數非奇次線性微分方程 y′+ py = Q(x ),給齣瞭 Q(x )的不同情況的特解的具體錶達式,以及帶有不同錶達形式的特解的通解公式。
통과엄근적수학추도,이용대정계수법,대우일계상계수비기차선성미분방정 y′+ py = Q(x ),급출료 Q(x )적불동정황적특해적구체표체식,이급대유불동표체형식적특해적통해공식。
For one order constant coefficient non-homogeneous linear differential equation y′+ py =Q (x ),the concrete expression of special solution with different situations of Q (x )is given through the un-determined coefficient method.The general solution formula with special solution of different expression is presented as well.