Question

求方程组的偏导数

Answer 1

xu - yv = 0........................(1)
yu + xv = 1.......................(2)
可先解出：
u = y/(x²+y²)......................(3)
v = x/(x²+y²)......................(4)
再求偏导数：
∂u/∂x = -2xy/(x²+y²)² .........(5)
∂v/∂y = -2xy/(x²+y²)² .........(6)
也可对(1,2)直接求偏导数再解方程。
请再检查一下。