Hard Maths 2

2010-11-02 6:11 pm

回答 (1)

2010-11-02 7:52 pm
✔ 最佳答案
u=(p+q)/(q-r)=-2x/(x+y)= -2+ 2y/(x+y)
∂u/∂x=-2y/(x+y)^2
∂u/∂y=2x/(x+y)^2
(∂/∂x)^2 u= 4y/(x+y)^3
(∂/∂y)^2 u= -4x/(x+y)^3
(∂/∂x)^2 u+(∂/∂y)^2 u =-4(x-y)/(x+y)^3 =0, then x=y(≠0)
so, u=-2x/(x+y)= -1


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