74.9.10 problem 20

Internal problem ID [16186]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number : 20
Date solved : Tuesday, January 28, 2025 at 08:56:45 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+10 y^{\prime }+24 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 17

dsolve(diff(y(t),t$2)+10*diff(y(t),t)+24*y(t)=0,y(t), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{-6 t}+c_{2} {\mathrm e}^{-4 t} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 22

DSolve[D[y[t],{t,2}]+10*D[y[t],t]+24*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to e^{-6 t} \left (c_2 e^{2 t}+c_1\right ) \]