安庆师范学院学报：自然科学版
安慶師範學院學報：自然科學版
안경사범학원학보：자연과학판
Journal of Anqing Teachers College(Natural Science Edition)
2012年
2期
105-107
,共3页
一阶线性非齐次微分方程%通解%常数变易法%增根%变数变易法
一階線性非齊次微分方程%通解%常數變易法%增根%變數變易法
일계선성비제차미분방정%통해%상수변역법%증근%변수변역법
the one -step -linearity -nonhomogenons differential equation%general solution%constant variation method%ex- traneous root%inconstant variation method
利用常数变易法求出的一阶线性非齐次微分方程的通解公式不严谨，产生的原因在于不恰当地使用不定积分取代定积分。审视常数变易法的“变易”过程，发现除此之外，“变数变易法”也是一种求一阶线性非齐次微分方程通解的方法。
利用常數變易法求齣的一階線性非齊次微分方程的通解公式不嚴謹，產生的原因在于不恰噹地使用不定積分取代定積分。審視常數變易法的“變易”過程，髮現除此之外，“變數變易法”也是一種求一階線性非齊次微分方程通解的方法。
이용상수변역법구출적일계선성비제차미분방정적통해공식불엄근，산생적원인재우불흡당지사용불정적분취대정적분。심시상수변역법적“변역”과정，발현제차지외，“변수변역법”야시일충구일계선성비제차미분방정통해적방법。
The formula of ordinary solution of one -step linearity nonhomogenous differential equation which is extracted by u- sing the constant change law is not rigorous that the reason produced lay in which has used the indefinite integral to substitute for the definite integral not appropriately. Carefully the paper examines the process of ＂changing＂ of the solution by constant change law, and discoveres in addition that ＂the variable change law＂ also is one kind method by which strives for ordinary solution of one -step linearity nonhomogenous differential equation.
