74.9.1 problem 9

Internal problem ID [16177]
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 : 9
Date solved : Tuesday, January 28, 2025 at 08:56:23 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 15

dsolve(diff(y(t),t$2)-y(t)=0,y(t), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 20

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

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