→ rockflying :兩式相除可解得, x^2+y^2+2ln(xy)=c 的族 03/08 01:10
推 Bourbaki :感謝 雖然似乎沒辦法解出x(t)和y(t) 不過已經好多了 03/08 01:37
※ 引述《Bourbaki (大狐狸)》之銘言：
: dx
: ---- = x(y^2 + 1)
: dt
: dy
: ---- = -y(x^2 + 1)
: dt
: 請問該怎麼解呢
: 謝謝^^
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.
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 61.217.146.182