Toronto Math Forum

MAT244--2019F => MAT244--Test & Quizzes => Quiz-3 => Topic started by: Wusijia on October 11, 2019, 02:00:02 PM

Title: TUT0502 QUIZ3
Post by: Wusijia on October 11, 2019, 02:00:02 PM
\begin{equation*}
y''-2y'-2y=0
\end{equation*}
\begin{equation*}
r^2-2r-2=0
\end{equation*}
\begin{equation*}
r_1=\frac{2+\sqrt{4+8}}{2}=1+\sqrt{3}
\end{equation*}
\begin{equation*}
r_2=\frac{2-\sqrt{4+8}}{2}=1-\sqrt{3}
\end{equation*}
\begin{equation*}
y=C_1e^{(1+\sqrt{3})t}+C_2e^{(1-\sqrt{3})t)}
\end{equation*}