this is for holding javascript data
vladimir onoprienko edited begin_equation_3_begin_align__.tex
about 8 years ago
Commit id: a4f97f388c51bd7868abe00575ba45371921b16b
deletions | additions
diff --git a/begin_equation_3_begin_align__.tex b/begin_equation_3_begin_align__.tex
index 0c6f77d..0c3ec1b 100644
--- a/begin_equation_3_begin_align__.tex
+++ b/begin_equation_3_begin_align__.tex
...
\to
\frac{\partial}{\partial y} \left( v \frac{\partial u}{\partial y}\right)
= \frac{\partial v}{\partial y} \cdot \frac{\partial u}{\partial y} + v \frac{\partial^2 u}{\partial y^2}
&=
-\frac{\partial}{\partial \frac{\partial}{\partial y} \left[ \frac{\partial \zeta}{\partial x} \cdot \frac{\partial}{\partial y} \left( -\frac{\partial \zeta}{\partial y} \right) \right] = \\
%newline
&=-\frac{\partial^2 \zeta}{\partial x \partial y } \cdot \frac{\partial^2 \zeta}{\partial y^2 }
+ -\frac{\partial \zeta}{\partial x } \cdot \frac{\partial^3 \zeta}{\partial y^3}\\