Toronto Math Forum
MAT2442019F => MAT244Test & Quizzes => Quiz4 => Topic started by: Nuo Chen on October 18, 2019, 02:07:09 PM

Find the general solution of the differential equation
$$
16 y^{\prime \prime}+24 y^{\prime}+9 y=0
$$
$$
\begin{array}{l}{16 r^{2}+24 r+9=0} \\ {(4 r+3)^{2}=0} \\ {r_{1}=r_{2}=\frac{3}{4}} \\ {\therefore y=c_{1} e^{\frac{3}{4} t}+C_{2} t e^{\frac{3}{4} t}}\end{array}
$$