singular solution

2010-12-07 9:14 pm

圖片參考:http://img221.imageshack.us/img221/4697/singularsol.png



我知道通常set左condition(x≠0)的時候會sub番x=0入去,
跟住就話.. xxx is true so x=0 is a solution, but since it cant even be sub into the general sol. it is a singular sol

其實咁做有乜謂...!? 仲有上圖係(x≠0, y≠0)咁我要點搵singular sol? 謝謝喔!*
更新1:

唔明..點解要假設C= -∞ 仲有呢..(x≠0)係咪condition之一? 唔該晒~

回答 (1)

2010-12-08 5:39 am
✔ 最佳答案
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2010-12-07 21:39:13 補充:
http://img152.imageshack.us/img152/1276/51778656.png

2010-12-11 10:52:15 補充:
其實y=0是直接觀察原式而得
Singular solution 的一種定義說法是,該solution不能從general solution 求得.
其中一種可能性是那個singular solution 是所有general solution 的共同tangent
另一種可能性是singular solution 是general solution 的limiting cases, 即C趨於0或+-無限
我的演算只是說明y=0可理解為general solution 的limiting case


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