74.10.39 problem 40 (b)

Internal problem ID [16244]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number : 40 (b)
Date solved : Tuesday, January 28, 2025 at 08:58:31 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-5 y^{\prime }+6 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(diff(y(t),t$2)-5*diff(y(t),t)+6*y(t)=0,y(t), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{3 t}+c_{2} {\mathrm e}^{2 t} \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 20

DSolve[D[y[t],{t,2}]-5*D[y[t],t]+6*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

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