y z - ln{ z } = x + y

常见问题解答

• $\text{求解 }x$ $yz-\ln z=x+y$

  

  $$x=yz-\ln \left(z\right)-y$$

• $\text{求解 }y$ $yz-\ln z=x+y$

  

  $$y=\frac{x+\ln \left(z\right)}{z-1}$$

• $\text{直接对方程微分求}\frac{\partial z}{\partial x}$ $yz-\ln z=x+y$

  

  $$\frac{\partial z}{\partial x}=\frac{z}{yz-1}$$

• $\text{直接对方程微分求}\frac{\partial z}{\partial y}$ $yz-\ln z=x+y$

  

  $$\frac{\partial z}{\partial y}=\frac{z-z^2}{yz-1}$$