作者EdmundLiu (数学猫)
看板Math
标题Re: [分析] 一题ode
时间Tue Mar 8 00:03:31 2011
※ 引述《Bourbaki (大狐狸)》之铭言：
: dx
: ---- = x(y^2 + 1)
: dt
: dy
: ---- = -y(x^2 + 1)
: dt
: 请问该怎麽解呢
: 谢谢^^
dy/dx=-y(x^2+1)/x(y^2+1), this is separable
but this only solve the solution curve in terms of x and y,
as for how to parameterize it? u can think about it.
at least one is the function of the other locally.
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 61.217.146.182
1F：→ rockflying :两式相除可解得, x^2+y^2+2ln(xy)=c 的族 03/08 01:10
2F：推 Bourbaki :感谢 虽然似乎没办法解出x(t)和y(t) 不过已经好多了 03/08 01:37