设函数z=f(x,y)(xy≠0)满足=y2(x2-1),则dz=______.

admin2018-07-23  47

问题 设函数z=f(x,y)(xy≠0)满足=y2(x2-1),则dz=______.

选项

答案(2x-y)dx-xdy

解析 设xy=u,=v,有x2=.则
f(u,v)=uv(-1)=u2-uv,即z=f(x,y)=x2-xy.
所以dz=(2x-y)dx-xdy.[img][/img]
转载请注明原文地址:https://kaotiyun.com/show/fsj4777K
0

最新回复(0)