1)两边对x求导:2yy'-3y-3xy'=0
(2y-3x)y'=3y
y'=3y/(2y-3x)
2) 两边对x求导:-sin(xy)* (xy)'=1
-sin(xy)*(y+xy')=1
y+xy'=-1/sin(xy)
y'=-1/(xsin(xy))-y/x
1)两边对x求导:2yy'-3y-3xy'=0
(2y-3x)y'=3y
y'=3y/(2y-3x)
2) 两边对x求导:-sin(xy)* (xy)'=1
-sin(xy)*(y+xy')=1
y+xy'=-1/sin(xy)
y'=-1/(xsin(xy))-y/x