74.1.14 problem 21

Internal problem ID [15794]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 21
Date solved : Tuesday, January 28, 2025 at 08:07:26 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+9 y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 12

dsolve(diff(y(t),t$2)+9*diff(y(t),t)=0,y(t), singsol=all)
 

\[ y = c_{1} +c_{2} {\mathrm e}^{-9 t} \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 19

DSolve[D[y[t],{t,2}]+9*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_2-\frac {1}{9} c_1 e^{-9 t} \]