74.5.2 problem 2

Internal problem ID [15966]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 08:25:00 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-y&=2 \,{\mathrm e}^{-t} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 15

dsolve(diff(y(t),t)-y(t)=2*exp(-t),y(t), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.052 (sec). Leaf size: 19

DSolve[D[y[t],t]-y[t]==2*Exp[-t],y[t],t,IncludeSingularSolutions -> True]
 

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