From 8597e61bbc705420fe88f4b73761165ce5a190dd Mon Sep 17 00:00:00 2001 From: Holden Rohrer Date: Tue, 14 Apr 2020 22:45:30 -0400 Subject: clarified parts --- execsumm/document.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'execsumm') diff --git a/execsumm/document.tex b/execsumm/document.tex index 2354637..b3af5a2 100644 --- a/execsumm/document.tex +++ b/execsumm/document.tex @@ -81,7 +81,7 @@ both complex and real eigenvalues may be found. Essentially, the solution is ${\bf x} = c_1{\bf\lambda_1}(t) + c_2{\bf \lambda_2}(t) + c_3{\bf \lambda_3}(t){\bf\lambda_p}(t)$, where the particular solution ${\bf\lambda_p}(t)$ is: -$${\bf \lambda_p}(t) = {\bf X}(t)\int{\bf X^{-1}}(t){\bf g}(t)dt,$$ +$${\bf \lambda}(t) = {\bf X}(t)\int{\bf X^{-1}}(t){\bf g}(t)dt,$$ where $\bf{X}(t)$ is the Fundamental matrix for the equation and ${\bf g}(t) = {1\over R_1} \pmatrix{\omega\cos(\omega t)\cr -- cgit