74.10.3 problem 3

Internal problem ID [16208]
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 : 3
Date solved : Tuesday, January 28, 2025 at 08:57:12 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 17

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

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