xy✀-ylny=0微分方程求解

2024-12-04 22:39:45
推荐回答(2个)
回答1:

简单计算一下即可,答案如图所示

回答2:

xy'-ylny=0
xy' = ylny
∫dx/x = ∫dy/(ylny)
ln|x| = ∫d(lnlny)
=ln|lny| +C'
x = C'|(lny)|
e^x = Cy