高等数学题目 在线等

x^3-y^3-x-y+xy=2
3x^2-3y^2*y'-1-y'+(y+x*y')=0
(3y^2+1-x)y'=3x^2-1+y
y'=(3x^2-1+y)/(3y^2+1-x)

x*e^y-y*e^x=x
(e^y+x*e^y*y')-(y'*e^x+y*e^x)=1
(x*e^y-e^x)*y'=1+y*e^x-e^y
y'=(1+y*e^x-e^y)/(x*e^y-e^x)

1.
3(x^2)-3(y^2)y'-1-y'+y+xy'=0
[x-3(y^2)-1]y'=1-y-3(x^2)
y'=[1-y-3(x^2)]/[x-3(y^2)-1]

2.
(e^y)+x(e^y)y'-y'(e^x)-y(e^x)=1
[x(e^y)-(e^x)]y'=1-(e^y)+y(e^x)
y'=[1-(e^y)+y(e^x)]/[x(e^y)-(e^x)]

其中x是自变量，y对x求导