摘要
通过把线性齐次微分方程x2y(n)+2nxy(n-1)+n(n-1)y(n-2)=0化为可逐次积分的线性微分方程,找出了它的通解形式,给出了严格的证明,并将其推广,得到x2y(n)+(x2+2nx)y(n-1)+[2(n-1)x+n(n-1)]y(n-2)+(n-1)(n-2)y(n-3)=0的通解.
By transforming linear even differential equation into the linear differential equation of successive integral, we have found out that,with strict proof,we can popularize it and get to untie.
出处
《荆门职业技术学院学报》
2006年第3期59-61,共3页
Journal of Jingmen Technical College
关键词
逐次积分
线性齐次微分方程
解法
successive integral
linear even differential equation
solution
