求解二阶微分方程

byrd_optics · 发表于 2008-11-24 11:04:37

y"=k(1+y'^2)^2

好久没用到高数了，忘的差不多了，求大虾赐教！

wxd198369 · 发表于 2008-11-26 13:03:30

see the attachment

byrd_optics · 发表于 2008-11-26 13:48:00

Thank you very much! However, the equation maked red underline, I don't think so. Coud you assure that it's right?

wxd198369 · 发表于 2008-11-26 14:35:21

see the attachment again

byrd_optics · 发表于 2008-11-26 15:44:43

I mean that "( y' )^2" is not equar to "(y^2)' ", that is what I can't accede. Do you gree that?

wxd198369 · 发表于 2008-11-27 10:16:46

Maybe you can try another method. See the attachment

byrd_optics · 发表于 2008-12-11 08:02:08

隔了两个星期了，昨天兴起翻了翻高数附录的积分表，原来里面有我需要的积分公式，贴出来看看对不对。

回复 6# wxd198369 的帖子