74.8.20 problem 20

Internal problem ID [16156]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Review exercises, page 80
Problem number : 20
Date solved : Tuesday, January 28, 2025 at 08:53:02 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

dsolve(diff(y(t),t)+y(t)=5,y(t), singsol=all)
 

\[ y = 5+{\mathrm e}^{-t} c_{1} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 20

DSolve[D[y[t],t]+y[t]==5,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to 5+c_1 e^{-t} \\ y(t)\to 5 \\ \end{align*}