Internal problem ID [14254]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {v^{\prime }+v={\mathrm e}^{-s}} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.044 (sec). Leaf size: 15
DSolve[v'[s]+v[s]==Exp[-s],v[s],s,IncludeSingularSolutions -> True]
\[ v(s)\to e^{-s} (s+c_1) \]