Mathtest

De luz-wiki

\(\frac{\partial^2 u}{\partial x^{2}}+\frac{\partial^2 U}{\partial y^2}=0\)

\[ \frac{\partial^2 U}{\partial x^2}=\frac{\partial}{\partial x}\frac{\partial (2x-2xy)}{\partial x}=\frac{\partial (2-2y)}{\partial x}=0 \] \[ \frac{\partial^2 U}{\partial y^2}=\frac{\partial}{\partial y}\frac{\partial (2x-2xy)}{\partial y}=\frac{\partial (-2x)}{\partial y}=0 \]

$U\left(x,y\right)=x^{2}-y^{2}$