Question

y＝y(x) e^(xy)－xy＝2 两边对x求导数怎么做? 答案是dy/dx=-y/x y=(x)是条件

Answer 1

简单分析一下，详情如图所示

Answer 2

对x求导
e^(xy)*(xy)'-(xy)'=0
两边除以e^(xy)-1
所以(xy)'=0
x'*y+x*y'=0
y+x*y'=0
所以dy/dx=y'=-y/x