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Terris Becker edited untitled.tex
almost 8 years ago
Commit id: b8c12672021d30212b5a4b56c5854397eb6e9942
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\end{align*}
We will show that the numerator expression will be equal to zero and thus the Laplace equation will equal zero.\
\begin{align*}
(u^{2}+v^{2})^{2}}[(uu_x + uu_{xx} +v_xv_x + vv_{xx})(u^{2}+v^{2})-(uu_x + vv_x)(2uu_x+2vv_x)\\
&+ (uu_y + uu_{yy} +v_yv_y + vv_{yy})(u^{2}+v^{2})-(uu_y + vv_y)(2uu_y+2vv_y)
\end{align*}
\end{proof}