[求助] 如何求解含复数系数的贝塞尔微分方程

2楼: Originally posted by feixiaolin at 2014-02-20 22:10:12
http://zh.wikipedia.org/wiki/%E8%B4%9D%E5%A1%9E%E5%B0%94%E6%96%B9%E7%A8%8B

3楼: Originally posted by qianbianzhu at 2014-02-21 15:48:09
版主你好。我看了这个，不过我想问问系数里面是复数，如何解，是不是贝塞尔方程就得不到相应的表达式。...

4楼: Originally posted by feixiaolin at 2014-02-21 15:50:09
那就拆分成两个实系数的方程吧...

5楼: Originally posted by qianbianzhu at 2014-02-21 16:45:31
请问是这个意思吗?
ρ^2 (d^2 H_ρ (ρ))/(dρ^2 )+ρ (dH_ρ (ρ))/dρ+ H_ρ (ρ)=0
ρ^2 (d^2 H_ρ (ρ))/(dρ^2 )+ρ (dH_ρ (ρ))/dρ+ρ^2 μσωH_ρ (ρ)=0

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6楼: Originally posted by feixiaolin at 2014-02-21 17:44:04
是
*X+*Y+*Z=0
变成
a1*X+a2*Y+a3*Z=0
b1*X+b2*Y+b3*Z=0...

7楼: Originally posted by qianbianzhu at 2014-02-21 21:45:54
感谢版主的点拨...