Internal problem ID [14422]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y=5} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)+y(t)=5,y(t), singsol=all)
\[ y \left (t \right ) = 5+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 20
DSolve[y'[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*}