求方程所确定的函数的微分dy y=cos(xy)-x
问题描述：
求方程所确定的函数的微分dy y=cos(xy)-x
答
dy=dcos(xy)-dx
dy=-sin(xy)·(ydx+xdy)-dx
[1+xsin(xy)]dy=-[1+ysin(xy)]dx
dy=-[1+ysin(xy)]/[1+xsin(xy)] dx
求方程所确定的函数的微分dy y=cos(xy)-x
dy=dcos(xy)-dx
dy=-sin(xy)·(ydx+xdy)-dx
[1+xsin(xy)]dy=-[1+ysin(xy)]dx
dy=-[1+ysin(xy)]/[1+xsin(xy)] dx