74.18.48 problem 54 (b)

Internal problem ID [16605]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number : 54 (b)
Date solved : Tuesday, January 28, 2025 at 09:12:34 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+4 y^{\prime }+4 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(diff(y(t),t$2)+4*diff(y(t),t)+4*y(t)=0,y(t), singsol=all)
 

\[ y = {\mathrm e}^{-2 t} \left (c_{2} t +c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 18

DSolve[D[y[t],{t,2}]+4*D[y[t],t]+4*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

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