From dbf8c282660c50513914588e32397f38f4f7df83 Mon Sep 17 00:00:00 2001 From: "Pablo S. Ocal" Date: Mon, 30 Mar 2026 11:54:18 -0700 Subject: [PATCH] Fixed typo about initial condition The initial condition of a system of differential equations was mistakenly denoted x_0. This has been corrected to y_0. --- Chapters/chapter6.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Chapters/chapter6.tex b/Chapters/chapter6.tex index 4c6b34a..27c9339 100644 --- a/Chapters/chapter6.tex +++ b/Chapters/chapter6.tex @@ -993,7 +993,7 @@ \section{Systems of linear differential equations} \ldots, c_k$? There is a theorem in differential equations that says that given an -initial condition $\xx_0$ there is one and only one solution of +initial condition $\yy_0$ there is one and only one solution of $\yy' = A\yy$ satisfying $\yy(0)=\yy_0$. So our theoretical question above is equivalent to the following quite practical question. Given an initial vector $\yy_0$, does there exist a solution $\yy(t)$ of the