this is for holding javascript data
vladimir onoprienko edited begin_equation_2_begin_align__.tex
about 8 years ago
Commit id: cd8ceb941df6c3ed40a7566b692301061ce790f6
deletions | additions
diff --git a/begin_equation_2_begin_align__.tex b/begin_equation_2_begin_align__.tex
index dbde37e..41ccf62 100644
--- a/begin_equation_2_begin_align__.tex
+++ b/begin_equation_2_begin_align__.tex
...
u \frac{\partial u}{\partial x}
\to
\frac{\partial}{\partial y} \left( u \frac{\partial u}{\partial x}\right)
&= = \frac{\partial u}{\partial y} \cdot \frac{\partial u}{\partial x} + u \frac{\partial^2 u}{\partial x \partial y}
= &= \frac{\partial}{\partial y}\left[ \left( - \frac{\partial \zeta}{\partial y} \right) \cdot \frac{\partial}{\partial x} \left( -\frac{\partial \zeta}{\partial y} \right) \right] = \\
%newline
&= \frac{\partial^2 \zeta}{\partial y^2} \cdot \frac{\partial^2 \zeta}{\partial x \partial y }
+ \frac{\partial \zeta}{\partial y } \cdot \frac{\partial^3 \zeta}{\partial x \partial y^2}\\