74.5.25 problem 25

Internal problem ID [15989]
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 : 25
Date solved : Tuesday, January 28, 2025 at 08:25:48 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} v^{\prime }+v&={\mathrm e}^{-s} \end{align*}

✓ Solution by Maple

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

dsolve(diff(v(s),s)+v(s)=exp(-s),v(s), singsol=all)
 

\[ v \left (s \right ) = \left (s +c_{1} \right ) {\mathrm e}^{-s} \]

✓ Solution by Mathematica

Time used: 0.051 (sec). Leaf size: 15

DSolve[D[ v[s],s]+v[s]==Exp[-s],v[s],s,IncludeSingularSolutions -> True]
 

\[ v(s)\to e^{-s} (s+c_1) \]