mirror of
https://github.com/janishutz/eth-summaries.git
synced 2025-11-25 10:34:23 +00:00
7 lines
440 B
TeX
7 lines
440 B
TeX
\newsectionNoPB
|
|
\subsection{Linear differential equations with constant coefficients}
|
|
The coefficients $a_i$ are constant functions of form $a_i(x) = k$ with $k$ constant, where $b(x)$ can be any function.\\
|
|
%
|
|
\shade{gray}{Solving:} \bi{(1)} Find \textit{characteristic polynomial} (of form $\lambda^k + a_{k - 1} \lambda^{k - 1} + \ldots + a_1 \lambda + a_0$ for order $k$ lin. ODE with coefficients $a_i$).
|
|
Find the roots of polynomial.
|