summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorHolden Rohrer <hr@hrhr.dev>2020-04-14 22:45:30 -0400
committerHolden Rohrer <hr@hrhr.dev>2020-04-14 22:45:30 -0400
commit8597e61bbc705420fe88f4b73761165ce5a190dd (patch)
treec0ad470bcf893102399dbd740ebdf8436f83e683
parent725f8b2b2fc250dcd6efdf8ba4108b196ed6d6b3 (diff)
clarified parts
-rw-r--r--execsumm/document.tex2
1 files changed, 1 insertions, 1 deletions
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