高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2012年
3期
28-30
,共3页
通解%变系数%变量代换%降阶法
通解%變繫數%變量代換%降階法
통해%변계수%변량대환%강계법
general solution%variable coefficients%substitution%order reduction
通过变量代换，将一类二阶变系数线性微分方程转化为可降阶的微分方程，再利用一阶线性微分方程的解法求解，从而给出了一个运算量较小的通解公式并举例加以应用．
通過變量代換，將一類二階變繫數線性微分方程轉化為可降階的微分方程，再利用一階線性微分方程的解法求解，從而給齣瞭一箇運算量較小的通解公式併舉例加以應用．
통과변량대환，장일류이계변계수선성미분방정전화위가강계적미분방정，재이용일계선성미분방정적해법구해，종이급출료일개운산량교소적통해공식병거례가이응용．
Using variable substitution, a second order linear differential equation with variable coefficients is transformed into a reducible differential equation, and is solved, as the first order linear differential equation, with a formula for general solution which can be calculated easily. Examples are given to verify our method.
