求u=xyzx+y+z的全微分.

admin2020-03-16  35

问题 求u=xyzx+y+z的全微分.

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答案ux’=(1+x)yzex+y+z,uy’=(1+y)xzex+y+z,uz’=(1+z)xyex+y+z,du=ex+y+z[(1+x)yzdx+(1+y)xzdy+(1+z)xydz].

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