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authorHolden Rohrer <hr@hrhr.dev>2020-04-14 14:09:16 -0400
committerHolden Rohrer <hr@hrhr.dev>2020-04-14 14:09:16 -0400
commit2427b2b28b2083d82ac0c5f757d4d26249332968 (patch)
treeb64df61e5c6dd55997734504305570be50f83166 /execsumm
parent2e09570e8fdbe696c38427f9b6c5451717d5ba4f (diff)
added solution description
Diffstat (limited to 'execsumm')
-rw-r--r--execsumm/document.tex8
1 files changed, 5 insertions, 3 deletions
diff --git a/execsumm/document.tex b/execsumm/document.tex
index 97270f1..631396b 100644
--- a/execsumm/document.tex
+++ b/execsumm/document.tex
@@ -4,7 +4,7 @@
\input ../com
-\section{Matrix Representation}
+\section{Matrix Representation and Homogeneous Solution}
To determine the relevant properties of the linear system, matrix form
is useful (this form was chosen to reduce fractions' usage):
@@ -60,8 +60,10 @@ $\displaystyle z = y{C_2R_1\over r+C_1R_1}.$
\bu $\displaystyle\lambda_3 = {r_2\over C_1C_2R_1\rload}, v_3 = \num2.$
-\section{Nonhomogenous System}
+This corresponds to a solution of the form $e^{\lambda t}v,\cdots.$
-Extending to the nonhomogenous system,
+\section{Nonhomogeneous System}
+
+Extending to the nonhomogeneous system,
\bye