设方程xz+yz+xy=e的定函数z=z(x,y),求dz
人气:237 ℃ 时间:2019-12-23 04:27:23
解答
两边同时微分
zdx+xdz+zdy+ydz+xdy+ydx=0
(x+y)dz+(y+z)dx+(z+x)dy=0
dz=-[(y+z)dx+(z+x)dy]/(x+y)
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