• 试题 ID 10640


设 $\varphi(u)$ 为连续函数, 且 $\int_{y-x}^{x-y} \varphi(t-x-y) \mathrm{d} t=x^2+y^2+z$, 则 $y \frac{\partial z}{\partial x}-x \frac{\partial z}{\partial y}=$
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