From 2d61c3d812564a22b19e32eb4f1846ff4b0cb4e4 Mon Sep 17 00:00:00 2001
From: Michael Wimmer <m.t.wimmer@tudelft.nl>
Date: Tue, 15 Sep 2020 21:58:05 +0200
Subject: [PATCH] try to use split environment
---
src/8_differential_equations_2.md | 12 +++++++-----
1 file changed, 7 insertions(+), 5 deletions(-)
diff --git a/src/8_differential_equations_2.md b/src/8_differential_equations_2.md
index a3e1fff..dbeafe8 100644
--- a/src/8_differential_equations_2.md
+++ b/src/8_differential_equations_2.md
@@ -55,11 +55,13 @@ $$y_{1} = y, \ y_{2} = y', \ \cdots, \ y_{n} = y^{(n-1)}.$$
Then, the differential equation can be re-written as
-$$y_1 ' = y_2$$
-$$y_2 ' = y_3$$
-$$ \vdots $$
-$$y_{n-1} ' = y_{n}$$
-$$y_{n} ' = - a_{0} y_{1} - a_{1} y_{2} - \cdots - a_{n-1} y_{n}.$$
+$$\begin{split}
+y_1 ' = & y_2 \\
+y_2 ' = & y_3 \\
+\vdots & \\
+y_{n-1} ' = & y_{n} \\
+$$y_{n} ' = & - a_{0} y_{1} - a_{1} y_{2} - \cdots - a_{n-1} y_{n}.
+\end{split}$$
Notice that together these $n$ equations form a linear first order system, the
first $n-1$ equations of which are trivial. Note that this trick can be used to
--
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